Respuesta :

The given figure is a linear pair.

Use the linear pair conjecture to find the value of x as shown below:

[tex]\begin{gathered} x+(3x-16)=180 \\ 4x-16=180 \\ 4x=180+16 \\ 4x=196 \\ x=\frac{196}{4} \\ x=49 \end{gathered}[/tex]

So the value of x is 49.