Lines and intersect at point

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

Problem

Lines

p

and

q

intersect at point

M

. One of the vertically opposite angles is

(3x + 15)^\circ

and the other is

(5x - 25)^\circ

. (i) Find the value of

x

. (ii) Determine the measure of each of the four angles formed at point

M

. Show all steps clearly.