Answer :
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
[tex]4x=80^{\circ}[/tex]Divide both sides by 4 to find x
[tex]\begin{gathered} \frac{4x}{4}=\frac{80}{4} \\ x=20 \end{gathered}[/tex]The value of x is 20