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<ABM obtuse or right, CM=BC - 1984 Kyiv City MO 7.3

Source:

July 15, 2021
geometryangles

Problem Statement

On the extension of the largest side ACAC of the triangle ABCABC set aside the segment CMCM such that CM=BCCM = BC. Prove that the angle ABMABM is obtuse or right.
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