Lines and are intersected by transversal at points and respectively

MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

d

and

e

are intersected by transversal

k

at points

M

and

N

respectively. At

M

, angles

\angle 1

and

\angle 2

form a linear pair with

\angle 1 = 2x^\circ

. At

N

on line

e

, angle

\angle 3

equals

(5x - 30)^\circ

. Given that

\angle 2

and

\angle 3

are alternate interior angles, find the value of

x

that makes

d \parallel e

. (a) 28 (b) 30 (c) 21 (d) 35