Math, asked by srisaienterprises505, 6 months ago


Find the angle whose complement is one third of its supplement.

Answers

Answered by PraptiMishra05
3

\huge\underline \mathfrak\red{Answer}

Let the measure of the required angle be x°.

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

And the measure of its supplement = (180 − x)

Therefore,

(90 − x) =  \frac{1}{3} (180 − x)

⇒ 3 (90 − x) = (180 − x)

⇒ 270 − 3x = 180 − x

⇒ 2x = 90

⇒ x = 45

Hence, the measure of the required angle is 45°.

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Answered by kaverimemane86
2

your answer is 45 ........friend

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