The two interior angles on the same side of a transversal cutting parallel lines are and

MATHEMATICS · Single correct · CBSE · Mathematics · Lines and Angles · Lines and Angles

Problem

The two interior angles on the same side of a transversal cutting parallel lines are

\left(\frac{2x}{3} + 15\right)^\circ

and

\left(\frac{4x}{3} + 45\right)^\circ

. Find the measure of the smaller of these two angles. (a)

70^{\circ}

(b)

60^{\circ}

(c)

55^{\circ}

(d)

42^{\circ}