Consider five points A, B, C, D and E such that ABCD is a

parallelogram and BCED is a cyclic quadrilateral. Let ℓ be a line passing

through A. Suppose that ℓ intersects the interior of the segment DC at F

and intersects line BC at G. Suppose also that EF = EG = EC. Prove

that ℓ is the bisector of angle DAB