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∠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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Mathematics
5 years
2021-08-20T18:42:53+00:00
2021-08-20T18:42:53+00:00 1 Answers
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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°