Lines and are parallel

MATHEMATICS · Multi-part · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

Lines

g

and

h

are parallel. A transversal

k

intersects them at points

R

and

S

. On the right side of

k

, the consecutive interior angles at

R

and

S

measure

(4z + 15)^\circ

and

(2z + 45)^\circ

respectively. (i) State the relationship between these two consecutive interior angles. (ii) Using the relationship, find the value of

z

. (iii) Calculate the measure of the exterior angle at

R

on the right of the transversal.