Given a triangle ABC such that AB<AC . On sides AB and BC, points P and Q are marked respectively such that the lines AQ and CP are perpendicular, and the circle inscribed in the triangle ABC touches the length PQ. The line CP intersects the circle circumscribed around the triangle ABC at the points C and T. If the lines CA,PQ and BT intersect at one point, prove that the angle ∠CAB is right. geometryright angleperpendicular