Question

The measure of angle AFB =degrees.The measure of angle BFD =degrees.The measure of angle AFC =degrees.

Answer 1

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°