Lines and are parallel and are intersected by a transversal

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

Problem

Lines

l

and

m

are parallel and are intersected by a transversal

t

. One alternate interior angle measures

(3x + 15)^{\circ}

and the other alternate interior angle measures

(5x - 9)^{\circ}

. Answer the following parts. (i) Write a linear equation in

x

using the relationship between the two alternate interior angles. (ii) Solve the equation to find the value of

x

. (iii) Hence calculate the measure of each of the two alternate interior angles.