find the value of x then find the measure of each labeled anglex=5x°=4x°=

The lines are parallel means sum of interior angle is 180 degree. So,
[tex]\begin{gathered} 5x+4x=180 \\ 9x=180 \\ x=\frac{180}{9} \\ =20 \end{gathered}[/tex]So value of x is 20 degrees.
Determine the value of 5x and 4x.
[tex]\begin{gathered} 5x=5\cdot20 \\ =100 \end{gathered}[/tex]and
[tex]\begin{gathered} 4x=4\cdot20 \\ =80 \end{gathered}[/tex]So value of x is 20, 5x is 100 and 4x is 80.