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MathNet 2026 — Part 03 Question 101

Math Olympiad Vault · MathNet 2026 — Part 03

Question 101

In the triangle $ABC$ the inner bisector $CD$ is drawn. It is known that the center of the circle inscribed in the triangle $BCD$ coincides with the center of the circumscribed circle of the triangle $ABC$. Calculate the angles of the triangle $ABC$.