Find the measure of the arc or angle indicated.

Answer:
C
Step-by-step explanation:
Let solve for x
[tex]110 + 16x - 6 + 12x + 4[/tex]
[tex]28x + 108 = 360[/tex]
[tex]28x = 252[/tex]
[tex]x = 9[/tex]
Angle F is a inscribed angle that is intercepted by arc HG so
Angle F is half of Arc HG
Arc HG=
[tex]16(9) - 6 = 138[/tex]
so Angle F is
[tex] \frac{138}{2} = 69[/tex]