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A quadrilateral with two equal sides. One angle to find.

Source: Tuymaada 2003, day 1, problem 2.

May 5, 2007
trigonometrygeometryperpendicular bisectorgeometry proposed

Problem Statement

In a quadrilateral ABCDABCD sides ABAB and CDCD are equal, ∠A=150∘,\angle A=150^\circ, ∠B=44∘,\angle B=44^\circ, ∠C=72∘.\angle C=72^\circ. Perpendicular bisector of the segment ADAD meets the side BCBC at point P.P. Find ∠APD.\angle APD.
Proposed by F. Bakharev
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