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Question -

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



Answer -

Let the required angle = x
Then its complement angle = 90° – x
∴ x = 8(90° – x)
⇒ x = 720° – 8x ⇒  x + 8x = 720°
⇒ 9x = 720° ⇒ x == 80°
∴  Required angle = 80°

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