Lines and are parallel

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

Problem

Lines

AB

and

CD

are parallel. Transversal

EF

intersects them, producing two consecutive interior angles whose measures are

(90^{\circ} - x)

and

(3x + 12)^{\circ}

. Find the value of

x

and hence state the measure of each of these angles.