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guajiro [1.7K]
3 years ago
15

Solve for x. Answer Choices969363

Mathematics
2 answers:
Alex787 [66]3 years ago
3 0
The answer is that x=6
Mandarinka [93]3 years ago
3 0

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

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