Question

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

Answer 1

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) - 8x°

⇒  9x° = 720°

⇒ x = `720/9` = 80

∴ The measured angle is 80°