Question

find the measure of angle which is one eighth of its complrment

Answer 1

first of all its compliment angle

let one of the angle be x {let it be bigger angle}
then the other angle be (90-x)

A/Q ,
or, x = 8(90°-x)
or, x = 560°-8x
or, 9x = 560°
or, x = 80°. hence the angles are 80 and 10