Lines and are parallel and are intersected by a transversal

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

Problem

Lines

p

and

q

are parallel and are intersected by a transversal. At line

p

, the interior angle on the left of the transversal measures

(3x+10)^{\circ}

. At line

q

: (a) the corresponding angle measures

(5y-22)^{\circ}

, (b) the consecutive interior angle on the same side of the transversal measures

(2y+4)^{\circ}

. Find the values of

x

and

y