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angle chasing inside a square ABCD, <MAB =< MBC = <BME=x

Source: 2003 Romania JBMO TST2 p4

May 23, 2020
geometrysquareanglesAngle Chasingequal angles

Problem Statement

Let EE be the midpoint of the side CDCD of a square ABCDABCD. Consider the point MM inside the square such that ∠MAB=∠MBC=∠BME=x\angle MAB = \angle MBC = \angle BME = x. Find the angle xx.
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