Notice that there are two triangles between the parallel lines.
Also, notice that the angle 160° and y are same-side interior angles, so they sum 180°.
[tex]160+y=180[/tex]
We solve for y.
[tex]\begin{gathered} y=180-160 \\ y=20 \end{gathered}[/tex]
On the other hand, angles 30 and x are alternate interior angles, which means they are congruent.
[tex]x=30[/tex]
Therefore, x = 30° and y = 20°.
