2. Consider five points A, B, C, D and E such that ABCD is a parallelogram and BCED is a cyclic quadrilateral. Let [itex]l[/itex] be a line passing through A. Suppose that [itex]l[/itex] intersects the interior of the segment DC at F and intersects line BC at G. Suppose also that EF = EG = EC. Prove that [itex]l[/itex] is the bisector of angle DAB.