Question

The supplement of an angle is 10 more than twice the complement of the angle. find the angle.

Answer 1

Given a certain angle
`x`, its complement is
`90-x` and its supplement is
`180-x`.

So, if the supplement of an angle is 10 more than twice the complement, you have

`180-x = 2(90-x)+10`

expand the right hand side:

`180-x = 180-2x+10`

We can simplify the 180 appearing on both sides:

`-x = -2x+10`

Add 2x to both sides

`x = 10`