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Question -

An angle is equalto 8 times its complement. Determine its measure?



Answer -

Given: Required angle = 8 times of its complement

Consider a0 beone angle then its complementary angle will be equal to (90 – a) 0

According to the question;

a = 8 times of its complement

a = 8 ( 90 – a )

a = 720 – 8a

a + 8a = 720

9a = 720

a = 80

Therefore, the required angle is 800.

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