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right triangle wanted, related to pentagon ABCDE with AE = ED, BC = CD

Source: Rioplatense 1993 L3 P6

May 26, 2019
right trianglegeometrypentagonequal segmentsangles

Problem Statement

Let ABCDEABCDE be pentagon such that AE=EDAE = ED and BC=CDBC = CD. It is known that ∠BAE+∠EDC+∠CBA=360o\angle BAE + \angle EDC + \angle CB A = 360^o and that PP is the midpoint of ABAB. Show that the triangle ECPECP is right.
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