Let Ω be the circumcircle of the triangle ABC. The circle ω is tangent to the sides AC and BC, and it is internally tangent to the circle Ω at the point P. A line parallel to AB intersecting the interior of triangle ABC is tangent to ω at Q.Prove that ∠ACP=∠QCB. geometrycircumcirclegeometric transformationhomothetyincenterEGMOEGMO 2013