Lines and are parallel

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

l

and

m

are parallel. A transversal

t

intersects

l

A

and

m

B

. On the same side of

t

, the interior angle at

A

measures

(5x + 10)^\circ

and the interior angle at

B

measures

(2x + 70)^\circ

. (i) Determine the value of

x

. (ii) Hence find the measure of each of the two interior angles.