Answer :
We have to find the measure of x.
The angle x is supplementary to the an angle of the the triangle of which we don't know the measure. If we call this angle α (alpha) we can write:
[tex]x+\alpha=180\degree[/tex]As we don't know the value of alpha, we can not do more with this for now.
We also know that the sum of the measures od the interior angles of a triangle is equal to 180°, so we can write:
[tex]46+97+\alpha=180[/tex]We can replace alpha with:
[tex]x+\alpha=180\longrightarrow\alpha=180-x[/tex][tex]\begin{gathered} 46+97+\alpha=180 \\ 46+97+(180-x)=180 \\ 46+97-x=0 \\ x=46+97 \\ x=143\degree \end{gathered}[/tex]Answer: x = 143°
