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14 April, 18:58

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

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  1. 14 April, 20:26
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    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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