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Question
Find the measure of ∠P and ∠S, if `bar(SP) || 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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Solution
∠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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