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

It is given that required angle = 8 times its complement

Let 'x' be the measured angle

angle = 8 times complement

angle = 8 (90 - x)

x = 8(90 - x)

x = 720 - 8x

x + 8x = 720

9x = 720

x = 80

Therefore measured angle is 80.