find the measure (in degrees) of the angle.

Question

If the ratio of the measure of the complement of an angle to the measure of its supplement is 1 : 7, find the measure (in degrees) of the angle.

Answer 1

the complement of an angle theta is 90 - theta

the supplement of an angle theta is 180 - theta.

Given the ratio of 1:7, we have an equation of

(90-theta) / (180-theta) = 1/7,

theta = 75