Find the angle whose supplement is four times its complement.

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Solution

Sol:

Let the measure of the required angle be x°.

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

And, measure of its supplement= (180° – x)

Therefore,

(180° – x) = 4(90° – x)

180° – x = 360° – 4x

3x = 180°

x = 60°

Hence, the measure of the required angle is 60°.

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Find the angle whose;

i) Complement is one sixth of its supplement.

ii) Supplement is four times its complement.

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