Question

Two angles are supplementary. The larger angle is 86 degrees larger then the smaller angle. Find the measure of both angles?

Answer 1

`47` and `133` degrees, respectively.

Explanation:

Let the larger angle be `x` degree, thus the smaller one `x-86` degree.

The sum of the two angles shall equal `180` degrees since they are supplementary. That is:
`x+(x-86)=180`

Solving for `x` gives `2x=266` and `x=133`
Hence the two angles are `133` and `133-86=47` degrees.