Lines and are parallel and are intersected by a transversal

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

Problem

Lines

l

and

m

are parallel and are intersected by a transversal. Angle

A

and angle

B

are corresponding angles measuring

(3x + 10)^{\circ}

and

(4y - 2)^{\circ}

, respectively. Angle

C

and angle

D

are consecutive interior angles measuring

(2x - 4)^{\circ}

and

(5y + 8)^{\circ}

, respectively. Find the value of

y

. (a)

26

(b)

24

(c)

20

(d)

22