Parallel lines and are intersected by a transversal at points (on ) and (on )

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

Problem

Parallel lines

l

and

m

are intersected by a transversal

n

at points

S

(on

l

) and

T

(on

m

). At

S

, the angle on the upper right of

n

(4x + 8)^{\circ}

, while the angle on the upper left of

n

at the same point is

112^{\circ}

. The angle on the upper right of

n

T

is corresponding to the

112^{\circ}

angle at

S

. Determine

x

. (a) 26 (b) 17 (c) 15 (d) 14