Question

Please help with problem 24, Algebra 1 question, question in the attachments

Answer 1

Let
`x` be the "given angle" mentioned here. Then its complement indeed has measure
`90-x`, and its supplement
`180-x`.

Now translate the following sentence into an equation:

"The supplement of a given angle is 10° more than twice its complement."

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

Solve for
`x`.

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

`180 - x = 190 - 2x`

`2x - x = 190 - 180`

`\boxed{x = 10}`