Question

Need help please ty (:
Find x.

Answer 1

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 2

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.