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rhombus Problem for the start

Source: Iranian Third Round 2020 Geometry exam Problem1

November 18, 2020
geometryrhombus

Problem Statement

Let ABCDABCD be a Rhombus and let ww be it's incircle. Let MM be the midpoint of ABAB the point KK is on ww and inside ABCDABCD such that MKMK is tangent to ww. Prove that CDKMCDKM is cyclic.
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