Two parallel lines and are cut by a transversal

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

Problem

Two parallel lines

p

and

q

are cut by a transversal

s

. The consecutive interior angles formed are

(7y - 9)^{\circ}

and

(3y + 19)^{\circ}

. (i) Write an equation relating these two angles. (ii) Solve the equation to find the value of

y

. (iii) Hence, calculate the numerical measure of each consecutive interior angle.