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since the angles are vertical they are also congruent. Therefore x equals 16
Answer: Choice D) 16

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Work Shown:

The two angles are vertical angles. They are congruent or equal in measure.

8x - 2 = 7x + 14
8x - 2+2 = 7x + 14+2 ... add 2 to both sides
8x = 7x + 16
8x - 7x = 7x + 16 - 7x ... subtract 7x from both sides
x = 16