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MathNet 2020 — Math Olympiad Vault — Part 04 Question 139

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 04

Question 139

Inside isosceles triangle $ABC$ with $AC=BC$ and $\angle C=80^\circ$, point $P$ satisfies $\angle PAB=30^\circ$ and $\angle PBA=10^\circ$. Find $\angle CPB$ in degrees.