Find the value if x that makes up p ll q

For the lines p and q to be parallel the measure of angle 4x must be equal to angle (3x + 30). As these are pair of alternate exterior angles. So,
[tex]4x=3x+30[/tex]Simplify the equation for x.
[tex]\begin{gathered} 4x=3x+30 \\ 4x-3x=30 \\ x=30 \end{gathered}[/tex]Thus value of x is 30.