In the triangle ABC, the segment CL is the angle bisector. The C-exscribed circle with center at the point Ic touches the side of the AB at the point D and the extension of sides CA and CB at points P and Q, respectively. It turned out that the length of the segment CD is equal to the radius of this exscribed circle. Prove that the line PQ bisects the segment ICL. geometryexcirclebisects segmentexcenter