1. Jul 4, 2008

mathwizarddud

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.

2. Jul 5, 2008

dirk_mec1

Can you give a drawing? ( I'm a bit lazy )