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MathNet 2020 — Math Olympiad Vault — Part 06 Question 75

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 06

Question 75

Given a triangle $ABC$, where $O$ is its circumcenter, $M$ is a midpoint of $BC$, and $W$ is a point of the second intersection of bisector of $C$ with the circumcircle. The line parallel to $BC$ that passes through $W$ intersects $AB$ at point $K$, so that $BK = BO$. Find the angle $WMB$.