Question

Can you please set the answer up like the question its easier for me to understand

Answer 1

We have to prove that:

`\angle VWX\cong\angle YZX`

And we are given that:

`\begin{gathered} \bar{WV}\parallel\bar{YZ} \\ X\text{ is the midpoint of }\bar{VY} \end{gathered}`

Statement 1:

`\bar{WV}\parallel\bar{YZ}`

Reason: Given

Statement 2:

`\text{There are lines that passes through WV and YZ}`

Reason: Postulate of existence of lines

Statement 3:

`\text{The line WZ is tranversal to WV and YZ}`

Reason: Information given on the graph.

Statement 4:

`\angle VWX\cong\angle YZX`

Reason: Alternate interior angles are congruent.