emmaty9482 emmaty9482

14-11-2018
Mathematics

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A and B are vertical angles, A = 9x + 10, and B = 7x + 24. Find a.

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tramserran tramserran

14-11-2018

Answer: x = 7, ∠A = ∠B = 73°

Explanation:

A = 9x + 10, B = 7x + 24

Vertical angles are congruent (equal). So, A = B

9x + 10 = 7x + 24

-7x - 10 -7x - 10

2x = 14

x = 7

A: 9x + 10 = 9(7) + 10 = 63 + 10 = 73

B: 7x + 24 = 7(7) + 24 = 49 + 24 = 73

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