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TOT 189 1988 Autumn J2 <MAC =<MCD inside square ABCD

Source:

May 20, 2020
geometryequal anglesanglessquare

Problem Statement

A point MM is chosen inside the square ABCDABCD in such a way that ∠MAC=∠MCD=x\angle MAC = \angle MCD = x . Find ∠ABM\angle ABM.
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