Question

Why are angle BCE and angle BAD congruent?
I will upload the photo in a moment.

Answer 1

wait ill make copy of the pic

Answer 2

triangle DFG is a right angled triangle so
< FDE + <EGF = 90 degrees
also < EFD + < EGF = 90 dgrees
but angle FDE = < EFD (given)
so angle EFG = angle EGF

Answer 3

now the lines AG and CF are transversals of the parallel lines AC and FG
so <BAD = angle EGF and < BCE = < EFG
but < EGF = < EFG
so <BAD = <BCE