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Solve for x.

Answer Choices

96

93

6

3

Solve for x. Answer Choices 96 93 6 3-example-1
User Danjam
by
7.5k points

1 Answer

11 votes

Answer:

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

User Alhcr
by
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