We want to prove that:
[tex]\angle VWX\cong\angle YZX[/tex]
Statement 1
[tex]\bar{WV}\parallel\bar{YZ}[/tex]
Reason: Given.
Statement 2:
[tex]\text{There exists lines that passes through WV and YZ. }[/tex]
Reason: Postulate of the existence of a line.
Statement 3:
[tex]\bar{WZ}\text{ is transversal to the lines }\bar{WV}\text{ and }\bar{YZ}[/tex]
Reason: Graph information.
Statement 4:
[tex]\angle VWX\cong\angle YZX[/tex]
Reason: Alternate interior angles are congruent. WV || YZ.
