I'm pretty sure the answer is 58° because:
Both of the long lines are 180° (EAD and BAC) so 360° (the whole) ÷ 2 = 180°
The degree for EAB (it will be easier if you find this one first) is 180° (EAD) -112° (BAD) = 68°
The degree for EAF is 180° (BAC) - 54° (FAC) = 126° - 68° (EAB) = 58°
Hope that helped!