9514 1404 393
Answer:
? = 60°
Explanation:
Make use of the fact that an inscribed angle has half the measure of the intercepted arc. Another way to say this is that the intercepted arc is twice the measure of the inscribed angle.
Arc FGH will be twice the measure of angle FVH, so we have ...
FG +168° = 2(119°)
FG = 238° -168° = 70°
Similarly, arc VFG is twice the measure of angle VHG:
? +FG = 2(65°)
? +70° = 130° . . . . . substitute value found for arc FG
? = 130° -70° . . . . . subtract 70°
? = 60°