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Question

An angle is such that the ratio between its complementary and supplementary angles is 1:4. Then the angle measure is?

A
45o
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B
60o
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C
75o
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D
90o
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Solution

The correct option is B 60o
Let the required angle be x

Then according to the question,
90ox180ox=14

4(90ox)=180ox

360o4x=180ox

360o180o=x+4x

180o=3x

x=180o3

x=60o
The required angle is 60o.

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