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angle chasing with convex ABCD, equailateral ABD, isosceles BCD, <C=90^o

Source: May Olympiad (Olimpiada de Mayo) 2009 L2

September 11, 2018
geometryAngle ChasingisoscelesEquilateral Triangleconvex quadrilateral

Problem Statement

Let ABCDABCD be a convex quadrilateral such that the triangle ABDABD is equilateral and the triangle BCDBCD is isosceles, with ∠C=90o\angle C = 90^o. If EE is the midpoint of the side ADAD, determine the measure of the angle ∠CED\angle CED.
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