1 Answer

MrEs · Answer 1 · 2023-11-24T05:29:11+0000

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:

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:

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

Please log in or register to add a comment.