Three parallel lines and are intersected by a transversal

MATHEMATICS · Single correct · GCSE · Mathematics · Geometry and Measures · Geometry and Measures

Problem

Three parallel lines

l, m

and

n

are intersected by a transversal

t

. The angle between

l

and

t

on the left side of

t

measures

(6x-8)^{\circ}

. The corresponding angle between

m

and

t

on the same side measures

(4x+20)^{\circ}

. Find the value of

x

. (a)

28

(b)

14

(c)

6

(d)

17