Question

Solve for x.

Answer Choices

96

93

6

3

Answer 1

x = 3

Explanation:

By inscribed angle theorem:

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