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Equality of angles in trapezoid

Source: XIII Polish Junior MO 2018 First Round - Problem 4

April 24, 2018
geometrytrapezoidbisectorPoland

Problem Statement

Let ABCDABCD be a trapezoid with bases ABAB and CDCD. Bisectors of ADAD and BCBC intersect line segments BCBC and ADAD respectively in points PP and QQ. Show that ∠APD=∠BQC\angle APD = \angle BQC.
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