Question

look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel lines and $mangle sru = 130^{circ}$, what is $mangle vuw?$

Explanation:

Step1: Identify angle - relationship

$\angle SRU$ and $\angle VUW$ are corresponding angles.

Step2: Apply property of corresponding angles

For parallel lines $QS$ and $TV$, corresponding angles are equal. Since $m\angle SRU = 130^{\circ}$, then $m\angle VUW=m\angle SRU$.

Answer:

$130$