On the sides AB,AC,BC of the triangle ABC, the points M,N,K are selected, respectively, such that AM=AN and BM=BK. The circle circumscribed around the triangle MNK intersects the segments AB and BC for the second time at points P and Q, respectively. Lines MN and PQ intersect at point T. Prove that the line CT bisects the segment MP. geometrycircumcircleKharkivequal segmentsbisects segment