From the given figure there are 2 parallel lines intersected by a transversal
Then they formed a pair of exterior alternate angles (80 degrees and 4x)
Since the exterior alternate angles are equal in measures, then
![4x=80^(\circ)](https://img.qammunity.org/2023/formulas/mathematics/college/1aqxp1rkxfb7018k9mvcfjvo999iry399y.png)
Divide both sides by 4 to find x
![\begin{gathered} (4x)/(4)=(80)/(4) \\ x=20 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/p3qwv2t7meziduq8hagz11a9x02eilp8mz.png)
The value of x is 20