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:
[tex]180-x=12+2(90-x)[/tex]
We then can find x as:
[tex]\begin{gathered} 180-x=12+2(90-x) \\ 180-x=12+180-2x \\ 2x-x=12+180-180 \\ x=12\degree \end{gathered}[/tex]
Then, the supplement of x is:
[tex]180-x=180-12=168\degree[/tex]
The complement of x is:
[tex]90-x=90-12=78\degree[/tex]
