Question 96
Let $\Gamma$ be a circle with center O, AE a diameter, and B the midpoint of one arc AE. Point $D\ne E$ lies on segment OE. Choose C so ABCD is a parallelogram with AB parallel to CD and BC parallel to AD. Lines EB and CD meet at F. Line OF meets the minor arc EB at I. Prove EI bisects angle BEC.
