Ncert mathematics solutions class 9 Solutions for Chapter 6 lines and angles

Exercises in Chapter 6 lines and angles Grade 9

Lines and Angles - Exercise 6.1

Lines and Angles - Exercise 6.2

Lines and Angles - Exercise 6.3

Questions in Lines and Angles - Exercise 6.1

In Fig. 6.13, lines AB and CD intersect at O. If ∠AOC + ∠BOE = 70° and ∠BOD = 40°, find ∠BOE and reflex ∠COE.

Fig. 6.14, lines XY and MN intersect at O. If ∠POY = 90° and a: b = 2 : 3, find c.

In Fig. 6.15, ∠PQR = ∠PRQ, then prove that ∠PQS = ∠PRT.

It is given that ∠XYZ = 64° and XY are produced to point P. Draw a figure from the given information. If ray YQ bisects ∠ZYP, find ∠XYQ and reflex ∠QYP.

Questions in Lines and Angles - Exercise 6.2

Fig. 6.29, if AB || CD, CD || EF and y : z = 3 : 7, find x.

In Fig. 6.30, if AB || CD, EF ⊥ CD and ∠GED = 126°, find ∠AGE, ∠GEF and ∠FGE.

Questions in Lines and Angles - Exercise 6.3

In Fig. 6.39, sides QP and RQ of ΔPQR are produced to points S and T respectively. If ∠SPR = 135° and ∠PQT = 110°, find ∠PRQ.

In Fig. 6.40, ∠X = 62°, ∠XYZ = 54°. If YO and ZO are the bisectors of ∠XYZ and ∠XZY respectively of Δ XYZ, find ∠OZY and ∠YOZ.

In Fig. 6.41, if AB || DE, ∠BAC = 35° and ∠CDE = 53°, find ∠DCE.

In Fig. 6.43, if PQ ⊥ PS, PQ || SR, ∠SQR = 28° and ∠QRT = 65°, then find the values of x and y.

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Chapters in this book

Number System

Polynomials

Coordinate Geometry

Linear Equations in Two Variables

Introduction to Euclids Geometry

Lines and Angles

Triangles

Quadrilaterals

Areas of Parallelograms and Triangles

Circles

Constructions

Heron’s Formula

Surface Areas and Volumes

Statistics

Probability