Question

look at this diagram:
if \\( \overleftrightarrow{tv} \\) and \\( \overleftrightarrow{wy} \\) are parallel lines and \\( m\angle vus = 69^\circ \\), what is \\( m\angle wxz \\)?
\\( \square^\circ \\)

Explanation:

Step1: Identify vertical angle

$\angle VUS$ and $\angle TUZ$ are vertical angles, so $m\angle TUZ = m\angle VUS = 69^\circ$.

Step2: Use parallel line property

Since $\overleftrightarrow{TV} \parallel \overleftrightarrow{WY}$, $\angle TUZ$ and $\angle WXZ$ are corresponding angles, so $m\angle WXZ = m\angle TUZ$.

Answer:

$69$