Lines and are parallel

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

Problem

Lines

d

and

e

are parallel. A transversal forms consecutive interior angles measuring

(\frac{7x}{4} + 8)^{\circ}

and

(\frac{x}{4} + 92)^{\circ}

. (i) Find the value of

x

. (ii) Determine the measure of the smaller of the two angles.