AFB and EFD are vertical angles (opposite), so they are congruent (equal)
AFB =EFD
AFB=56°
BFE = BFC+CFD+DFE
All angles add up to 180°
180° = 62°+CFD+56°
Solve for CFD
180-62-56 =CFD
62 =CFD
And since:
BFD =BFC+CFD
BFD = 62°+62°
BFD = 124°
AFE and AFB add up to 180°
180 = 124+AFB
180-124 =AFB
AFB = 56
AFB+BFC =AFC
56+62 = AFC
AFC = 118°