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Quadrilateral ABCD

Source: May Olympiad(Olimpiada de Mayo) 2015 (junior)

October 10, 2017
geometry

Problem Statement

In the quadrilateral ABCDABCD, we have ∠C\angle C is triple of ∠A\angle A, let PP be a point in the side ABAB such that ∠DPA=90º\angle DPA = 90º and let QQ be a point in the segment DADA where ∠BQA=90º\angle BQA = 90º the segments DPDP and CQCQ intersects in OO such that BO=CO=DOBO = CO = DO, find ∠A\angle A and ∠C\angle C.
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