Lines and are parallel and intersected by a transversal at points (on ) and (on )

MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles

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