Respuesta :
Answer: x = 18 (choice B)
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Work Shown:
Through the inscribed angle theorem, we can say that 2 times the inscribed angle gets us the arc that the inscribed angle cuts off.
2*(inscribed angle) = arc measure
2*(2x+2) = 76
4x+4 = 76
4x+4-4 = 76-4 ... subtract 4 from both sides
4x = 72
4x/4 = 72/4 ... divide both sides by 4
x = 18
Answer:
Step-by-step explanation:
2 × inscribed angle = 76
2 × (2x + 2) = 76
Open bracket
4x + 4 = 76
Collect like terms
4x = 76 - 4
4x = 72
Divide both sides by 4
4x/4 = 72/4
X = 18
Therefore X is Equal to 18.