Let ABC be an acute triangle and ω be its circumcircle. The bisector of ∠BAC intersects ω at [another point] M. Let P be a point on AM and inside △ABC. Lines passing P that are parallel to AB and AC intersects BC on E,F respectively. Lines ME,MF intersects ω at points K,L respectively. Prove that AM,BL,CK are concurrent. geometrycircumcirclegeometry unsolved