lexanibteShant
Answered

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?

A36° and 144°

B15° and 75°

C30° and 150°

D18° and 72°

Verified Answer :

HomertheGenius

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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