Answer:
arc HG = 40°
Step-by-step explanation:
The inscribed angle HFG is one half the measure of its intercepted arc, that is
3x + 2 = [tex]\frac{1}{2}[/tex] (5x + 10) ( multiply both sides by 2 )
6x + 4 = 5x + 10 ( subtract 5x from both sides )
x + 4 = 10 ( subtract 4 from both sides )
x = 6
Thus
arc HG = 5x + 10 = 5(6) + 10 = 30 + 10 = 40°
