∠A and \angle B∠B are complementary angles. If m\angle A=(4x+24)^{\circ}∠A=(4x+24) ∘ and m\angle B=(3x-4)^{\circ}∠B=(3x−4) ∘ , then find the

Question

∠A and \angle B∠B are complementary angles. If m\angle A=(4x+24)^{\circ}∠A=(4x+24) ∘ and m\angle B=(3x-4)^{\circ}∠B=(3x−4) ∘ , then find the measure of \angle B∠B.

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Thạch Thảo 5 years 2021-08-20T18:42:53+00:00 1 Answers 8 views 0

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    2021-08-20T18:43:58+00:00

    Answer:

                m∠B = 26°

    Step-by-step explanation:

    ∠A and ∠B being complementary means  m∠A + m∠B = 90°

    4x + 24 + 3x – 4 = 90

    7x + 20 = 90

      7x = 70

       x = 10

    m∠B = (3•10 – 4)° = 26°

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