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MathNet 2010 — Part 02 Question 74

Math Olympiad Vault · MathNet 2010 — Part 02

Question 74

In an acute triangle $ABC$, the segment $CD$ is an altitude and $H$ is the orthocenter. Given that the circumcenter of the triangle lies on the line containing the bisector of the angle $DHB$, determine all possible values of $\angle CAB$.