Question

The measure of an angle is 28° greater than its complement. How do you find the measure of each angle?

Answer 1

The angle is `59^circ`; its complement is `31^circ`

Explanation:

By definition the sum of an angle and its complement `=90^circ"`

Let the angle be `x`
The angle's complement must be `x-28^circ` (from the given information)

`x+(x-28^circ)=90^circ`

`2x =118^circ`

`x=59^circ`

So the angle is `59^circ` and its complement is `59^circ -28^circ = 31^circ`