Problem

Source: Bundeswettbewerb Mathematik 2024, Round 1 - Problem 3

Tags: geometry, circumcircle, geometry proposed, Angle Chasing, parallelogram



Let ABCD be a parallelogram whose diagonals intersect in M. Suppose that the circumcircle of ABM intersects the segment AD in a point EA and that the circumcircle of EMD intersects the segment BE in a point FE. Show that ACB=DCF.