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Angles in a circumscribed quadrilateral.

Source: Germany 2014 - Problem 6

December 4, 2022
geometryanglecircumscribedquadrilateral

Problem Statement

Let ABCDABCD be a circumscribed quadrilateral and MM the centre of the incircle. There are points PP and QQ on the lines MAMA and MCMC such that ∠CBA=2∠QBP.\angle CBA= 2\angle QBP. Prove that ∠ADC=2∠PDQ.\angle ADC = 2 \angle PDQ.
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