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Find the angles of the parallelogram [Canada 1987 - P3]

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September 30, 2011
geometryparallelogram

Problem Statement

Suppose ABCDABCD is a parallelogram and EE is a point between BB and CC on the line BCBC. If the triangles DECDEC, BEDBED and BADBAD are isosceles what are the possible values for the angle DABDAB?
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