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# In the given figure, PQ ‚ą• RS and ‚ą† P 50 find the measure of ‚ą†ROS

In the given figure, chords PQ and RS intersect each other at point L. Find the length of RL. touching externally at C, AD and DC are two chords of the circle C1, and BE and EC are the two chords of the circle C2. Find the measure of ‚ą†ADC + ‚ą†BEC? A bag has Rs. 46 in the form of 1 rupee, 50 paise and 10 paise coins in the ratio of 1. In given figure, PQ and RS are two mirrors placed parallel to each other.An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD ‚áí ‚ą†APQ + ‚ą†QPR = 127¬į ‚áí 50¬į + y = 127¬į [‚ąĶ ‚ą†APQ = 50¬į (given)] ‚áí y = 127¬į - 50¬į = 77¬į Thus, x = 50.

In the given figure, if BD ‚ą• RS ‚ą• PQ, CP = PD = 11 cm, AR = RD = 3 cm, BD = x, RS = y, PQ = z, then the ratio of values of y and z is touching externally at C, AD and DC are two chords of the circle C1, and BE and EC are the two chords of the circle C2. Find the measure of ‚ą†ADC + ‚ą†BEC? A bag has Rs. 46 in the form of 1 rupee, 50. In the given figure, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD L i n e l ‚ą• l i n e m. line n is their transversal then find z and y. View solution In the figure, D E ‚ą• Q R and A P & B P are bisectors of ‚ą† E A B and ‚ą† R B A , respectively

Ex 6.3, 5 In the given figure, if PQ ‚ä• PS, PQ || SR, ‚ą†SQR = 28¬į and ‚ą†QRT = 65¬į, then find the values of x and y. Since PQ || SR and QR is a transversal. ‚ą†PQR = ‚ą†QRT x + 28¬į = 65¬į x = 65¬į ‚ąí 28¬į x = 37¬į In őĒSPQ, ‚ą† SPQ + x + y = 180¬į 90¬į + 37¬į + y = 180¬į y = 18 ‚ąī ‚ą†POS + ‚ą†ROS + ‚ą†ROQ = 180¬į But OR ‚ä• PQ ‚áí 50¬į + y = 127¬į [ ‚ąĶ ‚ą†APQ = 50¬į (given)] ‚áí y = 127¬į- 50¬į = 77¬į Thus, x = 50¬į and y = 77¬į. Ex 6.2 Class 9 Maths Question 6. In figure, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the. Ex 6.2, 4 In the given figure, if PQ || ST, ‚ą†PQR = 110¬į and ‚ą†RST = 130¬į, find ‚ą†QRS. (Hint: Draw a line parallel to ST through point R.) It is given.

Question 5: In the figure, if lines PQ and RS intersect each other at point T, such that ‚ą†PRT = 40¬į, ‚ą†RPT = 95¬į and ‚ą†TSQ = 75¬į, then find ‚ą†SQT. Solution: Given Q 12. In the given figure, PQ and RS are two mirrors placed parallel to each other. An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and. in fig if ab cd apq 50o and prd 127o find x and y . In the given figure, two straight lines AB and CD intersect at a point O and ‚ą†AOC. ‚ą†2, ‚ą†5 and ‚ą†3 and ‚ą†8 are the corresponding interior angles of same side of the transversal. Hence, in the above three cases, the sum of two angles is supplementary. Question 7: From the given figure, find the value of x

NCERT Solutions , Class 9, Math . 6. In the following figure, PQ and RS are two mirrors placed parallel to each other, An incident ray AB strikes the mirror PQ at B, the reflected ray moves along the path BC and strikes the mirror RS at C and again reflects back along CD If the given figure, ‚ą†AOF and ‚ą†FOG form a linear pair. ‚ą†EOB = ‚ą†FOC = 90¬į and ‚ą†DOC = ‚ą†FOG = ‚ą†AOB = 30¬į (i) Find the measure of ‚ą†FOE, ‚ą†COB and ‚ą†DOE. (ii) Name all the right angles. (iii) Name three pairs of adjacent complementary angles. (iv) Name three pairs of adjacent supplementary angles. (v) Name three pairs of adjacent. ‚áí ‚ą†POQ + ‚ą†QOR + ‚ą†ROS = 150¬į Question 5. In the given figure, AB is a side of a regular six-sided polygon and AC is a side of a regular eight-sided polygon inscribed in the circle with centre O. Calculate the sizes of: (i) ‚ą† AOB, (ii) ‚ą† ACB, (iii) ‚ą† ABC. Solution: Arc AB subtends ‚ą†AOB at the centre and ‚ą†ACB at the remaining. (2014D) Solution: ‚ą†OQP = 900 ‚ą†ORP = 90¬į ‚ą†OQP + ‚ą†QPR + ‚ą†ORP + ‚ą†QOR = 360¬į [Angle sum property of a quad. If ‚ą†APB = 50¬į then what is the measure of ‚ą†OAB. Solu

(8) In the figure the arrow head segments are parallel. find the value of x and y. Given, The arrow heats segments are parallel ‚ąī Y o = 59 o [alternate angles FREE Rs Aggarwal 2018 for class 10 Math, Chapter 4 - Triangles from (Rs Aggarwal 2018 ). as shown in the figure. From a point P on BC, PQ ‚ą• AB and PR ‚ą• BD are drawn, meeting AC at Q and CD at R, In the given figure, ‚ą†AMN = ‚ą†MBC = 76 0 If p, q and r are the lengths of AM,. Lines and Angles Class 9 Extra Questions Very Short Answer Type. Question 1. If an angle is half of its complementary angle, then find its degree measure. Solution: Let the required angle be x. ‚ąī Its complement = 90¬į - x. Now, according to given statement, we obtain. x = (90¬į - x) ‚áí 2x = 90¬į - x

1. In the following figure, lines AB and CD intersect at O. If ‚ą†AOC + ‚ą†BOE = 70¬į and ‚ą†BOD = 40¬į, find ‚ą†BOE and reflex ‚ą†COE. Ans. Since AB is a straight line, ‚ąī AB and CD intersect at O. Thus, ‚ą†BOE = 30¬į and reflex ‚ą†COE = 250. 2. In the following figure, lines XY and MN intersect at O To find: ‚ą† a, ‚ą† b, ‚ą† c. Construction: extend E and D in answer diagram. ‚ą† e ‚ČÖ ‚ą† d (corresponding angle theorem) if two parallel line are cut by a transversal, then the pairs of corresponding angle are congruent. . ‚ąī ‚ą† d = 45¬į (given above diagram) ‚ą† a + ‚ą† d = 180¬į (linear pair angle) ‚ą† a + 45¬į = 180¬į in the given figure, the measure of ‚ą†oqp is. In őĒOPQ, OP= OQ = r ( Radius of the circle ) ‚ą†OPQ= ‚ą†OQP = 30. Chord AB is equal to radius of the circle, then find ‚ą†ACB. EA 65. Find the Value of 'X' Giving Reasons - Mathematics If m BGC = 16x - 4 and m CGD = 2x + 13, find the value of x so that BGD is a right angle. Explain NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles. In figure, lines AB and CD intersect at 0. If ‚ą†AOC + ‚ą†BOE = 70¬į and ‚ą†BOD = 40¬į, find ‚ą†BOE and reflex ‚ą†COE. Thus, ‚ą†BOE = 30¬į and reflex ‚ą†COE = 250¬į. Question 2. In figure, lines XY and MN intersect at 0. If ‚ą†POY = 90¬į , and a : b = 2 : 3. find c NCERT Exemplar Class 7 Maths Solutions Chapter 5 Lines and Angles. Directions: In questions 1 to 41, there are four options out of which one is correct. Write the correct one. Question 1. The angles between North and West and South and East are. (a) complementary. (b) supplementary. (c) both are acute. (d) both are obtuse

(d) From the given Figure it is clear that, ‚ą†a = ‚ą†b and ‚ą†c= ‚ą†d Question 12: If angle P and angle Q are supplementary and the measure of angle P is 60¬į, then the measure of angle Q i Telanagana SCERT Solution Class IX (9) Math Chapter 8 Quadrilaterals Exercise 8.3. (1) The opposite angles of a parallelogram are (3x ‚ąí 2)0 and (x + 48)0 . Find the measure of each angle of the parallelogram. Now, the other two angles are also opposite to each other hence equal In the given figure, ABC is a triangle and PQ is straight line meeting AB in P and AC in Q. If AP = 1cm, PB = 3 cm, AQ = 1.5 cm, QC = 4.5 cm, prove that area of APQ is of the area of the ABC. Solution figure, lines AB and CD intersect at O. If ‚ą†AOC + ‚ą†BOE = 70¬į and ‚ą†BOD = 40¬į, find ‚ą†BOE and reflex ‚ą†COE. In the given figure, lines XY and MN intersect at O. If ‚ą†POY = 90¬į and a:b = 2 : 3, find c. In the given figure, ‚ą†PQR = ‚ą†PRQ, then prove that ‚ą†PQS = ‚ą†PRT. In the given figure, if x + y = w + z, then prove that AOB is a.

In Fig. given below, if PQ ‚ą• ST, ‚ą†PQR = 110¬į and ‚ą†RST = 130¬į, find ‚ą†QRS. Solution: Given PQ ‚ą• ST ‚ą†PQR = 110¬į; ‚ą†TSR = 130¬į To find ‚ą†QRS Construction. Draw a line EF ‚ą• PQ passing through point R. Calculation. PQ ‚ą• EF (by construction) PQ ‚ą• ST (Given) EF ‚ą• ST (lines ‚ą• to the same line are parallel to each other) PQ. Solution: Given, To prove the medians of an equilateral triangle are equal. Median: The line Joining the vertex and midpoint of opposite side. Now, consider an equilateral triangle ABC. Let D, E, F are midpoints of BC, CA and AB. Then, AD, BE and CF are medians of ABC. Now, D Is midpoint of BC BD = DC = BC/2

### [Solved] In the given figure, chords PQ and RS intersect

1. equal. Find the measure of each of these angles. ii. In the given figure, AB = AC and ‚ą†ACD = 105. o, find ‚ą†BAC. iii. If P is the centre of the circle with radius 6.7 cm, d (P, R) = 5.7 cm, find the position of the point R with respect to the circle. iv. Find the distance between the points A(2, 5) and B(-6, 8). v. Evaluate: cos80 cos59.
2. 50 Questions Show answers. If the pattern indicated is continued, what would be the total number of cubes in the 6th (YES THE 6th) stage of the pattern? If RS = 34.1 and QS = 68, find QR. Find the distance between the points (4, 3) and (2, ‚ąí2) using the distance formula. Find the distance between points A and B using the distance formula
3. Important Questions & Solutions For Class 9 Chapter 6 (Lines and Angles) Q.1: In the figure, lines AB and CD intersect at O. If ‚ą†AOC..
4. Q.4: It is given that ‚ą†XYZ = 64¬į and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ‚ą†ZYP, find ‚ą†XYQ and reflex ‚ą†QYP. Solution
5. 1. In the following figure, őĒ ABC is right-angled at C, and M is the mid-point of hypotenuse AB. If AC = 32 cm and BC = 60 cm, then find the length of ¬Į ¬Į¬Į¬Į¬Į¬Į ¬Į C M C M ¬Į. (1) 32 cm. (2) 30 cm. (3) 17 cm. (4) 34 cm. 2. A cyclic polygon has n sides such that each of its interior angle measures 144¬į
6. Question 2: In the given figure, find the value of ‚ą†EOD. (A) 25¬į (B) 70¬į (C) 80¬į (D) 90¬į Answer: FC is a straight line. Therefore the sum of all the angles on either side of the straight line is equal to 180¬į. Here in the image given, we need to find ‚ą†EOD

### In figure ab is parallel to cd angle apq =50, click her

1. In Fig. 6.17, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that ‚ą† ROS =¬Ĺ (‚ą† QOS - ‚ą† POS). Fig. 6.17; It is given that ‚ą† XYZ = 64¬į and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ‚ą† ZYP, find ‚ą† XYQ and reflex ‚ą† QYP
2. NCERT Exemplar Class 9 Maths Chapter Exercise 6.4. Question 1. If two lines intersect, prove that the vertically opposite angles are equal. Solution: Let the two lines AB and CD intersect at a point O. Since, ray OA stands on line CD. ‚ąī ‚ą†AOC + ‚ą†AOD = 180¬į [Linear pair]. (i) Since, ray OD stands on line AB
3. View Geometry Crackers(Combined Pdf)_p281-288.pdf from IT 123400 at Jakarta State Polytechnic. The Cracker Practice Book for Geometry 36. In the given figure, PQ = 30 cm, RS = 24 cm and OM = 12 cm

In the given figure, apply SSS congruence condition and state the result in the symbolic form. ‚ą†POQ = ‚ą†ROS. Therefore, ‚ą†OPQ = ‚ą†ORS [Corresponding angle of congruence triangle] Since, PR joins PQ and RS, and two alternate angles are equal ‚ą†QPR = ‚ą†PRS [Since PQ ‚ą• SR and PR is transversal] PR = PR [Common] Therefore, ‚ą†QRP. Textbook solution for Elementary Geometry For College Students, 7e 7th Edition Alexander Chapter 2.1 Problem 21E. We have step-by-step solutions for your textbooks written by Bartleby experts Measure the required lengths and then find the area. AE = 10.8 cm Height from D to AE = 2.9 cm Area of ‚ąÜ AED = $$\frac{1}{2}$$ x 10.6 x 2.9 = 15.66 sq.cm. 2. In the given figure, a line parallel to BD through C and AB produced intersect at E. Now area of ‚ąÜ AED is equal to the area of quadrilateral. Measure the required lengths and then find. In figure, tangents PQ and PR are drawn to a circle such that ‚ą†RPQ = 30¬į. A chord RS is drawn parallel to the tangent PQ. Find the ‚ą†RQS. Solution: PQ and PR are two tangents drawn from an external point P. Question 8: AB is a diameter and AC is a chord of a circle with centre 0 such that ‚ą†BAC = 30¬į ‚ą†POQ = ‚ą†ROS and ‚ą†POQ = ‚ą†QOR If ‚ą†POQ = 50¬į then write the measurement of ‚ą†QOR, ‚ą†ROS and ‚ą†POS. Answer: Now let us first construct a diagram from the explanation given in the question. It is mentioned that OP, OQ, OR and OS are concurrent. Concurrent means multiple line intersecting at a single common point

Question 50. In the given figure, PQ is the diameter of the circle whose centre is O. Given ‚ą†ROS = 42¬į; calculate ‚ą†RTS. Solution: Question 51. In the given figure, PQ is a diameter. Chord SR is parallel to PQ. Given that ‚ą†PQR = 58¬į; calculate (i) ‚ą†RPQ (ii) ‚ą†STP. Solution: Question 52. AOD = 60¬į; calculate the numerical values of Given: in őĒABC, PQ is a line segment intersecting AB at P and AC at Q. AP = 1 cm, PB = 3cm, AQ = 1.5 cm and QC = 4.5 cm In őĒABC According to converse of basic proportional theorem if a line divides any two sides of a triangle in the same ratio, then the line must be parallel to the third side Download the PDF Question Papers Free for off line practice and view the Solutions online. Currently only available for. Class 10 Class 1

### [Solved] In the given figure, if BD ‚ą• RS ‚ą• PQ, CP = P

• In given figure PQR is a right triangle, right angled at Q and QS ‚ä• PR. If PQ = 6 cm and PS = 4 cm, then find QS, RS and QR. asked Feb 12, 2018 in Class X Maths by akansha Expert ( 2.2k points
• in the given figure, the measure of ‚ą†oqp is February 19, 2021 - 5:02 am.
• RD Sharma solutions for Mathematics for Class 9 chapter 10 (Lines and Angles) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any
• Q) A line segment PQ stands at a point Q of a straight line AB such that ‚ą†PQA = 6x - 48¬į and ‚ą†PQB = x + 11¬į. Find the values of ‚ą†PQA. (a) 138¬
• respectively of ‚ąÜXYZ, find ‚ą†OZY and ‚ą†YOZ. 3) In the given fig. 3., POQ is a line. Ray OR ‚ä• PQ. OS is another ray lying between rays OP and OR. Prove that:- ‚ą†ROS = (‚ą†QOS - ‚ą†POS ) 4) In the given fig. 4, ‚ą†B < ‚ą†A and ‚ą†c < ‚ą†D. Show that AD < BC. 5) P and Q are any two points lying on the sides DC and AD respectively of a.
• What do you observe regarding the points of intersection of the perpendicular bisectors? Solution: The intersection of the perpendicular bisectors an converging (meeting) on a single point. Question 3: In figure 14.12, Ū†ĶŪįīŪ†ĶŪįĶ‚É° ‚ą• Ū†ĶŪį∂Ū†ĶŪį∑‚É° and Ū†ĶŪĪÉŪ†ĶŪĪĄ‚É° is a transversal cutting them at two points. If ‚ą†1 = 140¬į, find ‚ą†2 and ‚ą†3. 14
• In Fig. 59, AB and CD are parallel lines intersected by a transversal PQ at L and M respectively, If ‚ą†CMQ = 60 o, find all other angles in the figure. Solution: A pair of angles in which one arm of both the angles is on the same side of the transversal and their other arms are directed in the same sense is called a pair of corresponding angles

### In figure, if OP‚ą• RS, OPQ = 110^o and QRS = 130^o , then

1. ‚ą†OBC = 80 o - 50 o = 30 o [Given ‚ą†AOC = 80 o] ‚ąī ‚ą†ABC = 30 o. 18. In the figure given below, AC is a diameter of a circle, whose centre is O. A circle is described on AO as diameter. AE, a chord of the larger circle, intersects the smaller circle at B. Prove that AB = BE
2. Get NCERT Exemplar Solutions for Class 7 Chapter Lines And Angles here. BeTrained.in has solved each questions of NCERT Exemplar very thoroughly to help the students in solving any question from the book with a team of well experianced subject matter experts. Practice Lines And Angles questions and become a master of concepts. All solutions are explained using step-by-step approach
3. Textbook solution for Elementary Geometry For College Students, 7e 7th Edition Alexander Chapter 2.4 Problem 14E. We have step-by-step solutions for your textbooks written by Bartleby experts
4. (b) Find the value of x: D [Ans: 125¬į] 9. A. C x 35¬į O (a) In the adjoining figure, O is the centre of the circle. ‚ą†OPQ = 50¬į. Calculate the value of x and y
5. Produce QB and SC on the other side of AD to form two lines PQ and RS. You may observe that the two lines do not intersect each other. You may also draw common perpendiculars to the two lines PQ and RS at different points and measure their lengths. You will find it the same everywhere. So, you may conclude that the lines are parallel
6. Circles Class 10 Question 1. In the given figure, O is the centre of the circle. ‚ą†OAB and ‚ą†OCB are 30¬į and 40¬į respectively. Find ‚ą†AOC. Show your steps of working. Question 2. (i) Prove that AC is a diameter of the circle. (ii) Find ‚ą†ACB. Question 3. Given O is the centre of the circle and ‚ą†AOB = 70¬į

Sum of all angle about a straight line given in the figure are equal to 180 o. Given, ‚ą†ROS is a right angle = 90 o. Let us assume ‚ą†POR = x and ‚ą†QOS = 5x. Then, ‚ą†POR + ‚ą†ROS + ‚ą†QOS = 180 o. x + 90 o + 5x = 180 o. 6x = 180 o - 90 o. 6x = 90 o. x = 90 o /6. x = 15 o. So, ‚ą†QOS measures = 5x = 5 √ó 15 o = 75 o. 23. Statements a and b. Summative Assessment Paper-1 1. Mathematics IX (Term - I) 1 SECTIONA (Question numbers 1 to 8 carry 1 mark each. For each question, four alternative choices have been provided of which only one is correct In the following figure, reflex ‚ą† AOB is equal to (a) 60¬į (b) 120¬į (c) 300¬į (d) 360¬į . If and , find the value of x. If angle AOB = 50¬į, angle AOE = 90¬į and angle COD = 25¬į ; find the measure of : asked Sep 26, 2018 in Mathematics by Richa ( 60.6k points) These are called axioms. Solution: Question 13 In figure 1, ABC is an isosceles triangle right angles at C with AC=4cm. Find the length of AB. Or. In figure 2, DE ‚ą•BC. Find the length of side AD, given that AE=1.8 cm, BD=7.2 cm and CE=5.4 cm. 4

Selina Concise Mathematics Class 10 ICSE Solutions Chapter 17 Circles Ex 17A. These Solutions are part of Selina Concise Mathematics Class 10 ICSE Solutions.Here we have given Selina Concise Mathematics Class 10 ICSE Solutions Chapter 17 Circles Ex 17A Hint: ‚ą† 4 = 360¬į - 230¬į = 130¬į. x¬į = 2(90¬į - x¬į) ‚áí x¬į = 60¬į. In the given figure, if l || m, find the values of a and b. Angles between South and West and South and East are (d) 150¬į (c) 16¬į Solution: ‚áí 3x = 180¬į (ii) PQ || UT and PT is a transversal. Solution: Question 23. Now, a + b = 45¬į + 55¬į = 100¬į, Question 105. An angle is 45¬į. (b) one of its angles is obtuse. Kerala Syllabus 9th Standard Maths Area Text Book Questions and Answers. Question 1. Draw a triangle of sides 3,4 and 6 centimeters. Draw three different right triangles of the same area. Draw a line parallel to AB through C and a line from B perpendicular to the parallel line, both lines intersect at point E A tangent PQ at a point P of a circle of radius 5 cm meets a line through the centre O at a point Q so that P OQ = 12 cm. Find length of PQ. Answer: We know that tangent to a circle makes a right angle with radius. ‚ą†OPQ = 90¬į Applying Pythagoras. PQ 2 = OP 2 + OQ 2. PQ 2 = 5 2 + 12 2. PQ 2 = 25 + 144. PQ 2 = 169. PQ = 13cm. Question 3

### NCERT Solutions : Lines and Angles (Mathematics) Class

• NCERT Exemplar Class 8 Maths Chapter 5 Understanding Quadrilaterals & Practical Geometry, is provided here for students to prepare for exams. These exemplars problems and solutions are designed by experts in accordance with the CBSE syllabus(2020-2021) for the 8th standard, which covers all the topics of Maths chapter 5. The chapter understanding quadrilaterals and practical [
• What is the area of triangle LMN? By using the angle sum property ‚ą†ODA + ‚ą†OAD + ‚ą†AOD = 180 o. Weights And Measures Conversion Chart Printable, Next Step Guided Reading Assessment Grades 3-6 Pdf, Top Vegan Taco Spots for Taco Tuesday in Southbay Los Angeles, Best Vegan-friendly Restaurants in Southbay Los Angeles for Late Night Munchies, The Best Soy-free Vegan Burgers in Southbay Los.
• NCERT Solutions for Class 9 Maths Chapter 6 Lines and Angles solved by Expert Teachers as per NCERT (CBSE) Book guidelines. Class 9 Maths Lines and Angles Exercise Questions with Solutions to help you to revise complete Syllabus and Score More marks
• The given figure show two circles with centres A and B; and radii 5 cm and 3cm respectively, touching each other internally. If the perpendicular bisector of AB meets the bigger circle in P and Q, find the length of PQ. Solution: Question 4. In the given figure, chord ED is parallel to diameter AC of the circle. Given ‚ą† CBE = 65¬į, calculate.

In figure ‚ą† B =550,‚ą† C =450 and the bisector of ‚ą† A meets BC at D ,find ‚ą† ADB and ‚ą† ADC 2 An angle is equal to five times its supplement. Find the measure of the angle 2 In figure ‚ą† P O R and ‚ą† Q O R form a linear pair. If b-a=600 find the values of a and b. In Fig., Lines PQ and RS intersect each other at point O. If In the given figure, POQ is a line. Ray OR is perpendicular to line PQ. OS is another ray lying between rays OP and OR. Prove that . Solution 19. Given that OR ‚ä• PQ . ‚ąī 2 ‚ą† ROS = ‚ą† QOS -. 4. In Fig. 6.42, if lines PQ and RS intersect at point T, such that ‚ą†PRT = 40¬į, ‚ą†RPT = 95¬į and ‚ą†TSQ = 75¬į, find ‚ą†SQT. Solution: Consider triangle PRT. ‚ą†PRT +‚ą†RPT + ‚ą†PTR = 180¬į So, ‚ą†PTR = 45¬į Now ‚ą†PTR will be equal to ‚ą†STQ as they are vertically opposite angles. So, ‚ą†PTR = ‚ą†STQ = 45¬į Again in triangle STQ

### Ex 6.3, 5 - In figure, if PQ ‚ä• PS, PQ SR, ‚ą†SQR = 28 ..

In the given figure, AOC is a line, find x. 2. In the given figure, PQŐÖŐÖŐÖŐÖ and MNŐÖŐÖŐÖŐÖŐÖ intersect at O. (a) Determine y, when x = 60¬į. (b) Determine x, when y = 40¬į. 3. In the given figure, lines Ab, CD and EF intersect at O. Find the measure of ‚ą†AOC, ‚ą†COF. 4. The exterior angles obtained on producing the base of a triangle both. Given : In ‚ąÜPQR, PQ = QR. L, M and N are the mid points of the sides PQ, QR and PR respectively. To prove : LM = MN Given : In ‚ąÜABC, AE is the bisector of vertical exterior ‚ą†A and AE . ‚ą•. BC. RD Sharma Class 9 Solutions Chapter 12 Heron's Formula Ex 12.3 - 2 In the figure, the measure of ‚ą†B'A'C' is (a) 50¬į. In the given figure, ABC is a triangle and PQ is straight line meeting AB in P and AC in Q. If AP = 1cm, PB = 3 cm, AQ = 1.5 cm, QC = 4.5 cm, prove that area of APQ is of the area of the ABC. Solution

### NCERT Solutions for Class 9 Maths Chapter 6 Lines and

• In Figure 3, PQ and RS are two parallel tangents to a circle with centre O and another tangent AB with the point of contact C intersecting PQ at A and RS at B. Prove that ‚ą†AOB = 90¬į.  Solution
• would have been interchanged, I would have Rs. 185 in my hand. So how many 10 rupee and 5 rupee notes were given to Durga?  Q. 7. (a) If 8tan A = 15, find sin A - cos A.  (b) 1 1 1 q r pqr rp pq r p q x x x Evaluate: x x x ¬ß ¬∑ ¬ß ¬∑ ¬ß ¬
• It is given that ‚ą†XYZ = 64¬ļ and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ‚ą†ZYP, find ‚ą†XYQ and reflex ‚ą†QYP. ‚ą†XYQ= 122¬į and ‚ą†QYP= 302¬į. It costs ‚āĻ2200 to paint the inner curved surface of a cylindrical vessel 10 m deep

### Ex 6.2, 4 - In figure, if PQ ST, ‚ą†PQR = 110¬į & ‚ą†RST = 130¬

• given line segment PQ , PQ=3QR, and QR= 1/3 RS Prove: line segment PQ is congruent to line segment RS . geometry. Two groups of students are asked to depict a picture of a semi-circular pizza. Group 1 uses a ruler to depict the base of the shape and completes the semi-circle with a pencil
• Given ‚ą†=118¬į, find ‚ą†. 21. Given that m QRT = 95¬ļ, find m QRS and m SRT. 22. ‚Éó bisects ‚ą†. Find ‚ą†. 23. In the figure shown bisects ‚ą†, and bisects ‚ą†. The measure of ‚ą†=45 , what is ‚ą†? 24. Two angles are complementary angles. The measure of the smaller angle is ‚ą† 5‚ąí13 and the measure of
• In figure the measure of ‚ą†a is 3. The distance of the point (-6, -2) from y-axis is 4. Two angles of triangles are 65 40 and 50 respectively. Find third angles. Section B 5. Write the following numbers in ascending order: 6 36, 7, 4 8 6. Find the zeroes of the polynomial p x x x()= ‚ąí +2 5 6. 7
• Theorem 6.4 the SSS similarity criterion. If in two triangles, sides of one triangle are proportional to (i.e., in the same ratio of) the sides of the other triangle, then their corresponding angles are equal and hence the two triangles are similar. This criterion is referred to as the SSS (Side-Side-Side) similarity criterion for two triangles

### RBSE Solutions Class 9 Maths Chapter 6 Latest Questions

Concise Maths Solutions Circles. The figure shows two circles which intersect at A and B. The centre of the smaller circle is O and lies on the circumference of the larger circle. Given ‚ą†APB = a¬į. Calculate, in terms of a¬į, the value of : (i) obtuse ‚ą†AOB, (ii) ‚ą†ACB, (iii) ‚ą†ADB. Give reasons for your answers clearly To play this quiz, please finish editing it. Students progress at their own pace and you see a leaderboard and live results. Control the pace so everyone advances through each question together. Q. A rectangle is a paralellogram. Q. All rectangles are squares. Q. All squares are parallelograms Fig. 6.3 : Linear pair of angles. If the non-common arms BA and BC in. Fig. 6.2, form a line then it will look like Fig. 6.3. In this case, ‚ą† ABD and ‚ą† DBC are called linear pair of angles.. You may also recall the vertically opposite angles formed when two lines, say AB and CD, intersect each other, say at the point O (see Fig. 6.4).There are two pairs of vertically opposite angles Question 12. Find out the equation of the circle in the figure. Question 13. The triangle formed by joining the three tangents in a circle is given in the figure. Find the length of the tangents from each vertex to the point of contact. Question 14. Find n in the equation 5 2 x 5 4 x 5 6 x.x5 2n = (0.008) -30

### In figure if ab parallel to cd angle apq =50 click here

Exercise 10.1 Question 1: In figure, the sides BA and CA have been produced such that BA = AD and CA = AE. Prove that segment DE ‚ą• BC. Solution: Sides BA and CA have been produced such that BA = AD and CA = AE. To prove: DE ‚ą• BC Consider BAC and [ MCQ Questions on Circles for Class 10 Question 9. In given figure, CP and CQ are tangents to a circle with centre O. ARB is another tangent touching the circle at R. If CP = 11 cm and BC = 6 cm then the length of BR is (a) 6 cm (b) 5 cm (c) 4 cm (d) 3 cm. Answer/ Explanation. Answer: b Explaination: Reason: Sinc Selina solutions for Concise Maths Class 10 ICSE Chapter 17 CirclesExercise 17 (C) [Pages 265 - 267] In the given circle with diameter AB, find the value of x. In the given figure, ABC is a triangle in which ‚ą†BAC = 30¬į. Show that BC is equal to the radius of the circumcircle of the triangle ABC, whose centre is O

### RBSE Solutions Class 9 Maths Chapter 5 Latest Questions

Class 10th Mathematics Gujarat Board Solution. Exercise 6.1. According to the definition of similarity of triangles, which are the conditions. For őĒPQR and őĒXYZ, the correspondence PQR ‚ÜĒ YZX is a similarity. m‚ą†P = 2m‚ą†Q and. The correspondence ABC ‚ÜĒ PQR between őĒ ABC and őĒ PQR is a similarity 5.3 Use the information in the diagram to find the measure. 18. Find m ‚ą† ABC. 19. Find EH 20. m ‚ą† JKL = 50¬į. Find LM. 5.3 Can you find the value of x? Explain. 21. 22. 23. 5.5 List the sides and angles in order from smallest to largest. 34. 35. 36. 5.5 Describe the possible lengths of the third side of the triangle given the lengths of the. Circle MCQ Pdf Question 32. In the given Fig., O is the centre of the circle, PQ is a chord and PT is tangent to the circle at P. If ‚ą†POQ = 70¬į, find ‚ą†TPQ. [AI 2017 (C)] Answer/ Explanation. MCQ on Circles With Answer: Explanation: Given: O is centre of the circle, PQ is chord and PT is tangent at P. To find: ‚ą†TPQ Solution: In ‚ąÜOP

### CBSE 9, Math, NCERT Solutions - Career Launche

It is given that ‚ą†XYZ = 64¬į and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ‚ą† ZYP, find ‚ą† XYQ and reflex ‚ą† QYP Explain how you conclude that AEF ‚ąľ ABC without using ‚ą†3 and ‚ą†4. Explain 2 Applying the Triangle Proportionality Theorem Example 2 Find the length of each segment. A _ CY It is given that _ XY ‚ą• _ BC o s ___AX XB = ___AY YC by the Triangle Proportionality Theorem. Substitute 9 for AX, 4 for XB, and 10 for AY. Then solve for CY. _ Worksheet on Parallelogram includes has different problems and solutions. Solve Questions on Parallelogram available to get a good hold of the concept How to find the Percentage of a Given Quantity? To find the Percentage of a Given Quantity we will write the percentage as a fraction out of 100. Let's see some of the solved examples below to understand more about the percentage of a given quantity concept. 1. The total number of students in grade 8 is 60 and in that 35 are girl students Free Online Scientific Notation Calculator. Solve advanced problems in Physics, Mathematics and Engineering. Math Expression Renderer, Plots, Unit Converter, Equation Solver, Complex Numbers, Calculation History

### Rd Sharma 2020 for Class 9 Math Chapter 10 - Lines And Angle

P Q raywPQ ithendpoint P ňúňö Angle An angle consists of two rays with a common endpoint (called a vertex). O A B ‚ą†AOB with vertex O Ray and Angle In an angle, the two rays are called the sides of the angle. Every angle has a measurement, or measure, associated with it. Suppose that a circle is divided into 360 equal arcs Free PDF download of Rajasthan Board for RBSE Maths Class 9 Chapter 9: Important Questions and Solutions to score more marks in exams, prepared by expert Subject teachers from the latest edition of CBSE books. Score high with CoolGyan and secure top rank in your exams

### Selina Concise Mathematics Class 10 ICSE Solutions Chapter

(a) In the figure (i) given below, ‚ą†CBP = 40¬į, ‚ą†CPB = q¬į and ‚ą†DAB = p¬į. Obtain an equation connecting p and q. Obtain an equation connecting p and q. If AC and BD meet at Q so that ‚ą† AQD = 2 q ¬į and the points C, P, B and Q are concyclic, find the values of p and q Therefore if SQ = QO and PQ ‚ą• OR then SP = PR and QP = 1 2 OR (conv. mid-pt. Th.) Mid-Point Theorem: (mid-pt. Th.) The line segment joining the midpoints of two sides of a triangle, is parallel to the third side and half the length of the third side. Therefore if SQ = QO and SP = PR then PQ ‚ą• OR and QP = 1 2 OR (mid-pt. Th.) S R In Figure 3, PQ and RS are two parallel tangents to a circle with centre O and another tangent AB with point of contact C intersecting PQ at A and RS at B. Prove that ‚ą†AOB = 90¬į. 16. Find the ratio in which the line x - 3y = 0 divides the line segment joining the points (- 2, - 5) and (6, 3) Jul 20, 2021 - NCERT Exemplar Solutions: Lines & Angles Notes | EduRev is made by best teachers of Class 7. This document is highly rated by Class 7 students and has been viewed 11 times Q26. The sides PQ and PR of ‚ąÜPQR are produced to points X and Y respectively. The bisectors QO and RO of ‚ą†RQX and ‚ą†QRY respectively meet at point O then prove tha

Exercise Page: 110. In questions 1 to 52, there are four options, out of which one is correct. Write the correct answer. 1. If three angles of a quadrilateral are each equal to 75 o, the fourth angle is (a) 150 o (b) 135 o (c) 45 o (d) 75 o. Solution: One angle is equal to three times its supplement. The measure of the angle is. 2. Two complementary angles are such that two times the measure of one is equal to three times the measure of the other. The measure of the smaller angle is. 3. Two straight line AB and CD intersect one another at the point O 10) If a triangle and a parallelogram are on the same base and between same parallels, then the ratio of the area of the triangle to the area of parallelogram will be: a. 1:2. b. 3:2. c. 1:4. d. 1:3. Answer/ Explanation. Answer: (a) MCQ Questions for Class 9 Maths Chapter 8 Quadrilaterals with Answers

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