R d sharma solutions mathematics class 9 Solutions for Chapter 8 lines and angles

Exercises in Chapter 8 lines and angles Grade 9

Lines And Angles Exercise 8.1

Lines And Angles Exercise 8.2

Lines And Angles Exercise 8.3

Lines And Angles Exercise 8.4

Questions in Lines And Angles Exercise 8.1

Write the complement of each of the following angles:

Write the supplement of each of the following angles:

If an angle is 280 less than its complement, find its measure?

If an angle is 30° more than one half of its complement, find the measure of the angle?

Two supplementary angles are in the ratio 4:5. Find the angles?

An angle is equal to 8 times its complement. Determine its measure?

Questions in Lines And Angles Exercise 8.2

In the below Fig. OA and OB are opposite rays:

In the below figure, write all pairs of adjacent angles and all the linear pairs.

In the given figure, find x. Further find ∠BOC , ∠COD and ∠AOD

In figure, rays OA, OB, OC, OD and OE have the common end point 0. Show that ∠AOB+∠BOC+∠COD+∠DOE+∠EOA= $^{360^0}$

How many pairs of adjacent angles are formed when two lines intersect at a point?

How many pairs of adjacent angles, in all, can you name in figure given?

In figure, determine the value of x.

In figure, AOC is a line, find x.

In figure, POS is a line, find x.

Questions in Lines And Angles Exercise 8.3

In figure, lines l1, and l2 intersect at O, forming angles as shown in the figure. If x = 45. Find the values of y, z and u.

In figure, three coplanar lines intersect at a point O, forming angles as shown in the figure. Find the values of x, y, z and u .

In figure, find the values of x, y and z.

In figure, find the value of x.

Prove that bisectors of a pair of vertically opposite angles are in the same straight line

If two straight lines intersect each other, prove that the ray opposite to the bisector of one of the angles thus formed bisects the vertically opposite angle.

Questions in Lines And Angles Exercise 8.4

In figure, AB, CD and ∠1 and ∠2 are in the ratio 3:2 Determine all angles from 1 to 8.

In figure, I, m and n are parallel lines intersected by transversal p at X, Y and Z respectively. Find ∠1, ∠2 and ∠3.

In figure, show that AB || EF.

In figure, if AB || CD and CD || EF, find ∠ACE.

In figure, PQ || AB and PR || BC. If ∠QPR = 102°, determine ∠ABC. Give reasons.

In figure, state which lines are parallel and why?

In figure, if l||m, n || p and ∠1 = 85°, find ∠2.

If two straight lines are perpendicular to the same line, prove that they are parallel to each other.

Prove that if the two arms of an angle are perpendicular to the two arms of another angle, then the angles are either equal or supplementary.

Was This helpful?

Chapters in this book

Number System

Exponents Of Real Numbers

Rationalisation

Algebraic Identities

Factorization Of Algebraic Expressions

Factorization Of Polynomials

Introduction To Euclid’s Geometry

Lines And Angles

Triangle And Its Angles

Congruent Triangles

Coordinate Geometry

Herons Formula

Linear Equations In Two Variables

Quadrilaterals

Areas Of Parallelograms And Triangles

Circles

Constructions

Surface Area And Volume Of A Cuboid And Cube

Surface Area And Volume Of a Right Circular Cylinder

Surface Area And Volume Of a Right Circular Cone

Surface Area And Volume Of Sphere

Tabular Representation Of Statistical Data

Graphical Representation Of Statistical Data

Measures Of Central Tendency

Probability