Answer:
192°
Step-by-step explanation:
✔️First, find the value of x:
<G + <T = 180° (opposite angles of an inscribed cyclic quadrilateral are supplementary)
12 + 6x + 5x + 14 = 180 (substitution)
Add like terms
11x + 26 = 180
11x = 180 - 26
11x = 154
x = 154/11
x = 14
✔️m<G = ½(m(FH)) (inscribed angle is ½ of the measure of intercepted arc)
Therefore,
m(FH) = 2(m<G)
m(FH) = 2(12 + 6x) (substitution)
Plug in the value of x
m(FH) = 2(12 + 6*14) = 2(12 + 84) = 192°
