Find the measure of and if in Fig 3.34.

(If you find is there more than one method to find ?)

According to the figure,

∠P + ∠Q = 180° (Angles on the same side of transversal)

∠P + 130° = 180°

∠P = 50°

∠R + ∠S = 180° (Angles on the same side of transversal)

90° + ∠R = 180°

∠S = 90°

Yes, there is one more method to find the measure of m ∠P, m ∠R and m ∠Q are given. After finding m ∠S, the angle sum property of a quadrilateral can be applied to find m ∠P