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Bosnia and Herzegovina TST 1996 Day 1 Problem 3

Source: Bosnia and Herzegovina Team Selection Test 1996

September 20, 2018
geometryparallelogramAngle Chasing

Problem Statement

Let MM be a point inside quadrilateral ABCDABCD such that ABMDABMD is parallelogram. If ∠CBM=∠CDM\angle CBM = \angle CDM prove that ∠ACD=∠BCM\angle ACD = \angle BCM
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