Lines and are intersected by transversal

MATHEMATICS · Subjective · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

p

and

q

are intersected by transversal

r

. The interior angle on the left of

r

at the point where it meets

p

measures

(4x-7)^\circ

, while the interior angle on the right of

r

at the point where it meets

q

measures

(3x+8)^\circ

. These two angles form a pair of alternate interior angles. Find the value of

x

and state whether

p

and

q

are parallel.