Given triangle ABC, with AC>BC, and the it's circumcircle centered at O. Let M be the point on the circumcircle of triangle ABC so that CM is the bisector of ∠ACB. Let Γ be a circle with diameter CM. The bisector of BOC and bisector of AOC intersect Γ at P and Q, respectively. If K is the midpoint of CM, prove that P,Q,O,K lie at one point of the circle. geometrycircumcircleangle bisectorConcyclic