MathDB
Known geometry problem

Source: Moldova TST 2013

April 16, 2013
geometrytrapezoidgeometry unsolved

Problem Statement

The diagonals of a trapezoid ABCDABCD with AD∥BCAD \parallel BC intersect at point PP. Point QQ lies between the parallel lines ADAD and BCBC such that the line CDCD separates points PP and QQ, and ∠AQD=∠CQB\angle AQD=\angle CQB. Prove that ∠BQP=∠DAQ\angle BQP = \angle DAQ.
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