Two circles (Ω1),(Ω2) touch internally on the point T. Let M,N be two points on the circle (Ω1) which are different from T and A,B,C,D be four points on (Ω2) such that the chords AB,CD pass through M,N, respectively. Prove that if AC,BD,MN have a common point K, then TK is the angle bisector of ∠MTN.* (Ω2) is bigger than (Ω1)