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10 December, 18:40

The measure of two complementary angles are in the ratio 1 : 5. What are the degree measures of the two angles? What is the solution of each proportion?

A. 36° and 144°

B. 15° and 75°

C. 30° and 150°

D. 18° and 72°

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Answers (1)
  1. 10 December, 22:25
    0
    If two angles are complementary then:

    α + β = 90°

    and because of the ratio: β = 5 α

    α + 5 α = 90°

    6 α = 90°

    α = 90° : 6 = 15°

    β = 5 · 15° = 75°

    Answer: B) 15° and 70°
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