If two complementary angles are in the ratio 1 : 4, then a correct statement is

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If two complementary angles are in the ratio 1 : 4, then a correct statement is

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the greatest angle is 72°

The least angle is 18°

The greatest angle is 80°

The least angle is 20°

answer is B, C.

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Detailed Solution

The ratio of complementary angles $= 1 : 4$

The sum of the parts in the ratio $= 1 + 4 = 5$

The least angle $= 90 ° \times \frac{1}{5} = 18 °$

The greatest angle $= 90 ° \times \frac{4}{5} = 72 °$

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