Mathematics

Problem

Lines

p

and

q

are parallel and intersected by a transversal

r

at points

A

(on

p

) and

B

(on

q

). At

A

, one of the angles is

(7y-30)^{\circ}

. The angle adjacent to it on the other side of the transversal forms a linear pair with it. The angle corresponding to this adjacent angle at

B

(4y+12)^{\circ}

. Determine the value of

y

. a) 16 b) 18 c) 14 d) 20