At point O, two straight lines intersect forming four angles labelled ( 1, 2, 3, 4 )…

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

Problem

At point O, two straight lines intersect forming four angles labelled

\angle 1, \angle 2, \angle 3, \angle 4

in order. If

\angle 1 = (3x + 30)^\circ

\angle 2 = y^\circ

and

\angle 3 = (y - 30)^\circ

, answer the following: (a) Find the values of

x

and

y

. (b) Determine the measure of

\angle 4