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angle wanted, circle tangent to BC - VI Soros Olympiad 1999-00 Round 1 9.5

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May 21, 2024
geometryangles

Problem Statement

Angle AA in triangle ABCABC is equal to aa. A circle passing through AA and BB and tangent to BCBC intersects the median to side BCBC (or its extension) at a point MM different from AA. Find the angle ∠BMC\angle BMC.
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