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TOT 054 1984 Spring J-O2 CD=2AM inside a convex pentagon

Source:

August 19, 2019
geometryconvexpentagonequal segments

Problem Statement

In the convex pentagon ABCDEABCDE, AE=ADAE = AD, AB=ACAB = AC, and angle CADCAD equals the sum of angles AEBAEB and ABEABE. Prove that segment CDCD is double the length of median AMAM of triangle ABEABE.
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