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Question

Find the angle which is four times its complement.

A
72°
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B
27°
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C
108°
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D
63°
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Solution

The correct option is A 72°

Let the measure of the required angle be x°

Then, measure of its complement = (90 – x)°

Therefore,

x = 4(90 – x)

x = 360 – 4x

5x = 360

x = 72°

Hence, the measure of the required angle is 72°.
Therefore, option 'b' is correct


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