MathDB
Poland second round 2005

Source:

February 18, 2006
geometry unsolvedgeometry

Problem Statement

In a convex quadrilateral ABCDABCD, point MM is the midpoint of the diagonal ACAC. Prove that if ∠BAD=∠BMC=∠CMD\angle BAD=\angle BMC=\angle CMD, then a circle can be inscribed in quadrilateral ABCDABCD.
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