Two parallel lines are cut by a transversal so that the pair of consecutive interior…

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

Problem

Two parallel lines are cut by a transversal so that the pair of consecutive interior angles formed have measures

\left(\dfrac{7x}{2} + 8\right)^{\circ}

and

(5x - 16)^{\circ}

. Work through the steps below. (i) Set up the equation satisfied by these two consecutive interior angles. (ii) Determine the value of

x

. (iii) Calculate the size of each of the two consecutive interior angles.