If an angle is 28° less than its complement, find its measure.

Question

If an angle is 28&#xB0; less than its complement, find its measure.

Philoid · Accepted Answer

Angle measured will be ‘x’ say

Therefore, its compliment will be (90^o – x)

It is given that angle = Compliment – 28^o

x = (90^o – x) – 28^o

2x = 62^o

x = 31^o