Lines and are intersected by a transversal

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

Problem

Lines

a

and

b

are intersected by a transversal. One consecutive interior angle measures

(6x - 18)^\circ

. The other interior angle is twice a vertical angle that measures

54^\circ

. For what value of

x

will

a

and

b

be parallel? (a)

24

(b)

15

(c)

12

(d)

18