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MathNet 2020 — Math Olympiad Vault — Part 02 Question 21

Math Olympiad Vault · MathNet 2020 — Math Olympiad Vault — Part 02

Question 21

The diagonals of a tangential quadrilateral $ABCD$ intersect at point $P$. The side $AB$ is longer than any other side of $ABCD$. Prove that the angle $APB$ is obtuse.