Because ABCD is square, BO=AC* 1/2 and AO=BO.

Because AE=AC, BO=AE* 1/2.

Because AG is perpendicular to GE and GE is perpendicular to BD, the quadrilateral AGBO is square, so AE=OB=AE* 1/2, and the angle ABG=45 degrees.

Therefore, the angle CBE=45 degrees.

Therefore, AEG angle =30 degrees.

Therefore, angle CFE= angle CBE+ angle AEG=75 degrees.