Question

My app keeps crashing on tutor sessions if I leave during I'm sorry!

Answer 1

We know that the supplement of an angle x is 12 more than twice its complement.

We have to find the complement of the supplement of x.

We start with defining the supplement of x, that is (180-x).

In the same way, the complement of x is (90-x).

Then, the information of the first sentence can be translated as:

`180-x=12+2(90-x)`

We then can find x as:

`\begin{gathered} 180-x=12+2(90-x) \\ 180-x=12+180-2x \\ 2x-x=12+180-180 \\ x=12\degree \end{gathered}`

Then, the supplement of x is:

`180-x=180-12=168\degree`

The complement of x is:

`90-x=90-12=78\degree`