In the parallelogram ABCD, ∠BAD=60∘. Let E be the intersection point of the diagonals. The circle circumscribed to the triangle ACD intersects the line AB at the point K (different from A), the line BD at the point P (different from D), and to the line BC in L (different from C). The line EP intersects the circumscribed circle of the triangle CEL at the points E and M. Show that the triangles KLM and CAP are congruent. geometryparallelogramcongruent triangles