Quite easy geometry
Source: China Second Round Olympiad 2021 A1 P1
October 16, 2021
geometryChina
Problem Statement
In triangle ABC,X,Y are on the angle bisector of ∠BAC and ∠ABX=∠ACY.BX intersects CY at P and circles (BYP) and (CXP) intersect at Q different from P. Prove that A,P,Q are on a line.