We have to solve for x.
We have two angles that form a linear pair, so when added together they have a measure of 180°.
We then can write:
[tex]m\angle1+m\angle2=180\degree[/tex]
Replacing the measures by the corresponding expressions, we can solve for x as:
[tex]\begin{gathered} (5x-16)+(x+10)=180 \\ 5x+x-16+10=180 \\ 6x-6=180 \\ 6x=180+6 \\ 6x=186 \\ x=\frac{186}{6} \\ x=31 \end{gathered}[/tex]
Answer: x = 31
