#### Chapters

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

## Solutions for Chapter 6: Lines and Angles

Below listed, you can find solutions for Chapter 6 of CBSE NCERT for Class 9 Maths.

### NCERT solutions for Class 9 Maths Chapter 6 Lines and Angles Exercise 6.1 [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.

### NCERT solutions for Class 9 Maths Chapter 6 Lines and Angles Exercise 6.2 [Pages 103 - 105]

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.

### NCERT solutions for Class 9 Maths Chapter 6 Lines and Angles Exercise 6.3 [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.

## Solutions for Chapter 6: Lines and Angles

## NCERT solutions for Class 9 Maths chapter 6 - Lines and Angles

Shaalaa.com has the CBSE Mathematics Class 9 Maths CBSE solutions in a manner that help students grasp basic concepts better and faster. The detailed, step-by-step solutions will help you understand the concepts better and clarify any confusion. NCERT solutions for Mathematics Class 9 Maths CBSE 6 (Lines and Angles) include all questions with answers and detailed explanations. This will clear students' doubts about questions and improve their application skills while preparing for board exams.

Further, we at Shaalaa.com provide such solutions so students can prepare for written exams. NCERT textbook solutions can be a core help for self-study and provide excellent self-help guidance for students.

Concepts covered in Class 9 Maths chapter 6 Lines and Angles are Intersecting Lines and Non-intersecting Lines, Introduction to Lines and Angles, Basic Terms and Definitions, Parallel Lines, Pairs of Angles, Parallel Lines and a Transversal, Lines Parallel to the Same Line, Angle Sum Property of a Triangle.

Using NCERT Class 9 Maths solutions Lines and Angles exercise by students is an easy way to prepare for the exams, as they involve solutions arranged chapter-wise and also page-wise. The questions involved in NCERT Solutions are essential questions that can be asked in the final exam. Maximum CBSE Class 9 Maths students prefer NCERT Textbook Solutions to score more in exams.

Get the free view of Chapter 6, Lines and Angles Class 9 Maths additional questions for Mathematics Class 9 Maths CBSE, and you can use Shaalaa.com to keep it handy for your exam preparation.