Question

Find the measure of an angle whose measure is 60 degrees more than the measure of its complement

Answer 1

75⁰

Explanation:

Angle = x

Complement = 90 - x

Given:

x = 90 - x + 60

2x = 150

x = 75⁰

Answer 2

Two complementary angles add up to 90 degrees. Hence, the problem can be set up and solved. Let x represents one angle and 5x represent the angle that is 5 times greater:x + 5x = 90 (simplify)6x = 90 (next divide both sides by 6 to find the value of x [the smaller angle])x = 15 (this is the smaller angle, next subtract 15 from 90 to find the greater angle)90 - 15 = 75 (this is the greater angle which is 5 times that of its complement) 90 take away 73...