Mathematics

Problem

Lines

p

and

q

are parallel and are intersected by a transversal at points

A

and

B

respectively. At

A

, the interior angle between

p

and the transversal is

(x + 30)^{\circ}

. At

B

, the alternate interior angle corresponding to this angle is

(2y + 20)^{\circ}

. The angle adjacent to

(2y + 20)^{\circ}

on the other side of the transversal at

B

(3y + 10)^{\circ}

. Find the values of

x

and

y