Lines and are parallel

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

Problem

Lines

R

and

S

are parallel. A transversal

T

intersects them, forming a pair of alternate exterior angles whose measures are

(90^{\circ} - x)

and

(2x - 18)^{\circ}

. Find the value of

x

and the common measure of these alternate exterior angles.