Question

The measure of an angle's supplement is 44 less than the measure of the angle. What is the measure of the angle and its supplement?

Answer 1

`68˚,112˚`

Explanation:

`mangle1=x`

`mangle2=x-44`

If these two angles are supplementary, then `mangle1+mangle2=180`.

`x+(x-44)=180`

`2x-44=180`

`2x=224`

`x=mangle1=112`

The other angle's measure is `x-44=68`.