Chapter 2 - Polynomials
Chapter 3 - Coordinate Geometry
Chapter 4 - Linear Equations in two Variables
Chapter 5 - Introduction to Euclid's Geometry
Chapter 6 - Lines and Angles
Chapter 7 - Triangles
Chapter 8 - Quadrilaterals
Chapter 9 - Areas of Parallelograms and Triangles
Chapter 10 - Circles
Chapter 11 - Constructions
Chapter 12 - Heron's Formula
Chapter 13 - Surface Area and Volumes
Chapter 14 - Statistics
Chapter 15 - Probability
Chapter 6 - Lines and Angles
Pages 96 - 97
In the given figure, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.
In the given figure, lines XY and MN intersect at O. If ∠POY = 90° and a:b = 2 : 3, find c.
In the given figure, ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.
In the given figure, if x + y = w + z, then prove that AOB is a line.
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 ∠ROS = 1/2(∠QOS - ∠POS).
It is given that ∠XYZ = 64° and XY is produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.
In the given figure, find the values of x and y and then show that AB || CD.
In the given figure, if AB || CD, CD || EF and y: z = 3: 7, find x.
In the given figure, If AB || CD, EF ⊥ CD and ∠GED = 126º, find ∠AGE, ∠GEF and ∠FGE.
In the given figure, if PQ || ST, ∠PQR = 110º and ∠RST = 130º, find ∠QRS.
[Hint: Draw a line parallel to ST through point R.]
In the given figure, if AB || CD, ∠APQ = 50º and ∠PRD = 127º, find x and y.
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. Prove that AB || CD.
Pages 107 - 108
In the given figure, sides QP and RQ of ΔPQR are produced to points S and T respectively. If ∠SPR = 135º and ∠PQT = 110º, find ∠PRQ.
In the given figure, ∠X = 62º, ∠XYZ = 54º. If YO and ZO are the bisectors of ∠XYZ and ∠XZY respectively of ΔXYZ, find ∠OZY and ∠YOZ.
In the given figure, if AB || DE, ∠BAC = 35º and ∠CDE = 53º, find ∠DCE.
In the given figure, if lines PQ and RS intersect at point T, such that ∠PRT = 40º, ∠RPT = 95º and ∠TSQ = 75º, find ∠SQT.
In the given figure, if PQ ⊥ PS, PQ || SR, ∠SQR = 28º and ∠QRT = 65º, then find the values of x and y.
In the given figure, the side QR of ΔPQR is produced to a point S. If the bisectors of ∠PQR and ∠PRS meet at point T, then prove that ∠QTR = 1/2∠QPR.
Textbook solutions for Class 9
NCERT solutions for Class 9 Mathematics chapter 6 - Lines and Angles
NCERT solutions for Class 9 Mathematics chapter 6 (Lines and Angles) include all questions with solution and detail explanation from Mathematics Textbook for Class 9. 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. Shaalaa.com has created the CBSE Mathematics Textbook for Class 9 solutions in a manner that help students grasp basic concepts better and faster.
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Concepts covered in Class 9 Mathematics chapter 6 Lines and Angles are Concept to Lines and Angles, Basic Terms and Definitions, Intersecting Lines and Non-intersecting Lines, Pairs of Angles, Parallel Lines and a Transversal, Lines Parallel to the Same Line, Angle Sum Property of a Triangle.
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