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2002 BAMO p1 angle wanted, square share side with right triangle

Source:

August 26, 2019
geometryangleright trianglesquare

Problem Statement

Let ABCABC be a right triangle with right angle at BB. Let ACDEACDE be a square drawn exterior to triangle ABCABC. If MM is the center of this square, find the measure of ∠MBC\angle MBC.
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