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Find the measure of ∠P and ∠S, if bar(SP) II bar(RQ)  in the following figure. (If you find m∠R, is there more than one method to find m∠P?)

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∠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.

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