Question

Solve for x. Answer Choices969363

Answer 1

The answer is that x=6

Answer 2

Answer:

x = 3

Step-by-step explanation:

By inscribed angle theorem:

$m\angle FGE = \frac{1}{2} \times m(\widehat{EF}) \\ \\ \implies \: (31x + 3) \degree = \frac{1}{2} \times 192 \degree \\ \\ \implies \: (31x + 3) \degree = 96 \degree \\ \\ \implies \: 31x + 3 = 96 \\ \\ \implies \: 31x = 96 - 3 \\ \\ \implies \: 31x = 93 \\ \\ \implies \: x = \frac{93}{31} \\ \\ \implies \: x = 3$