Question

The difference in the measure of two supplementary angles is 36. What is the measure of the two angles?

Answer 1

`72˚,108˚`

Explanation:

Say that

`mangle1=x`
`mangle2=x-36`

These are two angles whose difference is `36`. If they are supplementary, then `mangle1+mangle2=180`.

`x+(x-36)=180`

Solve to find `x`.

`2x-36=180`
`2x=216`
`x=108`

Thus,

`mangle1=108`
`mangle2=108-36=72`