Let ABCD be a cyclic quadrilateral with ∠BAD<∠ADC. Let M be the midpoint of the arc CD not containing A. Suppose there is a point P inside ABCD such that ∠ADB=∠CPD and ∠ADP=∠PCB. Prove that lines AD,PM, and BC are concurrent. geometryhomothetyradical axisAZE IMO TSTPascal s theorem