Respuesta :

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.

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