Let ABC a triangle with AB<AC and let I it´s incenter. Let Γ the circumcircle of △BIC. AI intersect Γ again in P. Let Q a point in side AC such that AB=AQ and let R a point in AB with B between A and R such that AR=AC. Prove that IQPR is cyclic. geometryincentercircumcirclecyclic quadrilateral