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computational staring with w 90-57-15 triangle, <APB =<CPQ, <BQA=<CQP

Source: 2011 Argentina OMA L3 p3

June 17, 2020
geometryequal anglesright triangle

Problem Statement

Let ABCABC be a triangle with ∠A=90o,∠B=75o\angle A = 90^o, \angle B = 75^o and AB=2AB = 2. The points PP and QQ on the sides ACAC and BCBC respectively are such that ∠APB=∠CPQ\angle APB = \angle CPQ and ∠BQA=∠CQP\angle BQA = \angle CQP . Calculate the measurement of the segment QAQA .
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