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MathNet 2011 Question 91

Math Olympiad Vault · MathNet 2011

Question 91

Let $ABC$ be a triangle in which $BL$ is the angle bisector of $\widehat{ABC}$ ($L \in AC$), $AH$ is an altitude of $\triangle ABC$ ($H \in BC$), and $M$ is the midpoint of the side $[AB]$. It is known that the midpoints of the segments $[BL]$ and $[MH]$ coincide. Determine the internal angles of triangle $\triangle ABC$.