Answer:
x = 3
Step-by-step explanation:
By inscribed angle theorem:
[tex]m\angle FGE = \frac{1}{2} \times m(\widehat{EF}) \\ \\ \implies \: (31x + 3) \degree = \frac{1}{2} \times 192 \degree \\ \\ \implies \: (31x + 3) \degree = 96 \degree \\ \\ \implies \: 31x + 3 = 96 \\ \\ \implies \: 31x = 96 - 3 \\ \\ \implies \: 31x = 93 \\ \\ \implies \: x = \frac{93}{31} \\ \\ \implies \: x = 3[/tex]
