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

1.	An angle is equal to 8 times its complement. Determine its measure?
Answer» Given: Required angle = 8 times of its complement Consider a° be one angle then its complementary angle will be equal to (90 – a)° 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 80°.

Answer»

Given: Required angle = 8 times of its complement

Consider a° be one angle then its complementary angle will be equal to (90 – a)°

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 80°.

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