Circles Γ1 and Γ2 have centers O1 and O2 and intersect at P and Q. A line through P intersects Γ1 and Γ2 at A and B, respectively, such that AB is not perpendicular to PQ. Let X be the point on PQ such that XA=XB and let Y be the point within AO1O2B such that AYO1 and BYO2 are similar. Prove that 2∠O1AY=∠AXB.Author: Matthew Brennan geometrygeometric transformationreflectionrotationdilationperpendicular bisectorgeometry proposed