Question

Two supplementary angles are in the ratio of 7 to 2. What is the measurement of degrees in the smaller angle?

Answer 1

`40`

Explanation:

Two Angles are Supplementary when they add up to 180 degrees. Let bigger angle be `7x` and smaller one `2x`.

`color(white)xx7x+2x=180`
`=>color(red)(1/9xx)9x=color(red)(1/9xx)180`
`=>x=20`

`=>2x=2xx20`
`=>2x=40`