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angle chasing in convex ABCD with <A=60^o, two symmetric given

Source: Greece JBMO TST 2004 p1

June 18, 2019
geometryAngle Chasing

Problem Statement

Let ABCDABCD be a convex quadrilateral with ∠A=60o\angle A=60^o. Let EE and ZZ be the symmetric points of AA wrt BCBC and CDCD respectively. If the points B,D,EB,D,E and ZZ are collinear, then calculate the angle ∠BCD\angle BCD.
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