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∠A and \angle B∠B are vertical angles. If m\angle A=(2x+1)^{\circ}∠A=(2x+1)
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and m\angle B=(8x-17)^{\circ}∠B=(8x−17)
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, then find the value of x.

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musiclover10045

Vertical angles are the same.

Set the two equations to equal each other ans solve for x:

2x + 1 = 8x -17

Add 17 to both sides:

2x + 18 = 8x

Subtract 2x from both sides:

18 = 6x

Divide both sides by 6:

x = 18/6

x = 3

Answer:

2x + 1 = 8x -17

Add 17 to both sides:

2x + 18 = 8x

Subtract 2x from both sides:

18 = 6x

Divide both sides by 6:

x = 18/6

x = 3

Step-by-step explanation:

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