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

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

Problem

Parallel lines

g

and

h

are cut by a transversal

k

at points

R

(on

g

) and

S

(on

h

). At

R

, the angle on the lower right of

k

(4z + 14)^{\circ}

, and the angle on the upper right of

k

at the same point is

62^{\circ}

. The angle on the lower left of

k

S

is corresponding to the

62^{\circ}

angle at

R

. Determine

z

. (a) 12 (b) 32 (c) 26 (d) 23