Question

The measure of an angle is 28 degrees greater than its complement. find the measure of each angle

Answer 1

The sum of an angle and its complement =90°

The angle is 59°; its complement is 31°

Explanation:

Given measure of an angle is 28 degrees greater than its complement.

By definition the sum of an angle and its complement =90°

Let the angle be x

The angle's complement must be x−28° (from the given information)

x+(x−28°)=90° or
`x+(x−28°)=90°`

2x= 118° or
`2x= 118°`

x= 59° or
`x= 59°`

So the angle is 59° and its complement is 59°−28°=31°

`So the angle is 59° and its complement is 59°−28°=31°`