use the ankle shown to determine if the lines are parallel

The parallel property is:
The above relation show the parallel line
so check for the given line:
Use straight line property then:
[tex]\begin{gathered} q+105=180 \\ q=180-105 \\ q=75 \end{gathered}[/tex][tex]\begin{gathered} q+r=180 \\ 75+r=180 \\ r=105 \end{gathered}[/tex][tex]\begin{gathered} p+105=180 \\ p=180-105 \\ p=75 \end{gathered}[/tex]Similarly:
[tex]\begin{gathered} s=75 \\ t=105 \\ u=75 \end{gathered}[/tex]So given lines is:
So give lines are parallel to each other.