Geometry puzzle (34)

See picture below with given angles in square ABCD:



Question:
Calculate angle AEF.

Solution




Rotate ΔAFD around point A.
This results in ΔAGB.
Draw GF.
LBAE=25.
LGAE=20+25=45.
AE is bissectrix in isosceles triangle AGF.
So, GF is perpendicular to AE.
LFGB=70-45=25.
LGEA=LAEF=90-25=65.