Answer:
∠FIG = (47/2)° = 23.5° . . . . . rounds to 24°
Step-by-step explanation:
The value of x can be found from ...
72 = 3x+3 . . . . the central angle and the arc measure are the same
24 = x+1 . . . . . divide by 3
23 = x . . . . . . . .subtract 1
The measure of ∠FIG is half the difference of the arc measures FG and RZ, so is ...
m∠FIG = (1/2)(3x+3 - (x+2)) = (1/2)(2x +1) = x +1/2
m∠FIG = 23 1/2 . . . . degrees
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Perhaps you're supposed to round this to 24°.
