The measure of an angle is 8 times as great as the measure of its complement. find the measure of the angle

Complimentary angles are 2 angles, when added, add up to 90 degrees. So when one angle = x, its complimentary angle = (90 - x)

the measure of an angle, lets call it x, is 8 times as great (means u multiply it by 8) as the measure of its compliment ...

x = 8 (90 - x)

x = 720 - 8x

x + 8x = 720

9x = 720

x = 720/9

x = 80 < = = = the measure of the angle is 80 degrees

its compliment is 90 - x = 90 - 80 = 10