Answer:
FC = 138 degrees
Explanation:
DG is equivalent to GC
FAD and FBC are equivalent arc angles
Therefore, if DG is 42 degrees, GC is also 42 degrees which makes DGC 84 degrees
Since a circle is 360 degrees, and FAD + FBC + DGC makes up a whole circle, we can say:
FAD + FBC + DGC = 360, since DGC is 84 degrees, and FAD = FBC
2FAD + 84 = 360
solve for FAD
FAD = 138 degrees, since FAD is equal to FBC, FBC is also equal to 138 degrees, where FBC is also FC <- just that they exclude the B in the notation