Lines and are parallel

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

Problem

Lines

p

and

q

are parallel. Two different transversals

r

and

s

intersect them. Transversal

r

meets

p

at point

A

making an angle of

(4x + 12)^\circ

on the right side of

r

. Transversal

s

meets

p

at point

B

making an angle of

(2x + 48)^\circ

on the right side that corresponds to the angle at

A

. Determine the measure of the interior angle made by transversal

s

with line

q

on the left side of

s

. (a)

84^{\circ}

(b)

108^{\circ}

(c)

96^{\circ}

(d)

92^{\circ}