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A and B are vertical angles. A=(x+15) B=(5x−17) the measure of b

1 Answer

6 votes
Answer = 23 degrees

Explanation

1. Since vertical angles are congruent you can set the equations equal to one another like x+15 = 5x-17.

2. Subtract x on both sides to combine like terms . That gives 15 = 4x - 17

3. Add 17 on both sides to combine like terms. That gives 4x = 32.

4. Divide 4 on both sides to solve for x. That results in x = 8.

5. To find the measure of b, you can input 8 into A since A=B and it’s quicker math. So 8 + 15 = 23 degrees
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