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An angle is equal to 8 times its complement. Determine its measure.

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#### Solution

It is given that angle = 8 times its complement

Let ‘*x*’ be measured angle

⇒ angle = 8 complements

⇒ angle = 8(90 - *x*)° [ ∴ complement = (90 - *x*)° ]

*⇒ x*° = 8(90) - 8*x*°

⇒ 9*x*° = 720°

*⇒ x *= `720/9` = 80

∴ The measured angle is 80°

Concept: Pairs of Angles

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