Question

look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel lines and $mangle vuw = 123^{circ}$, what is $mangle sru$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. Since $\overleftrightarrow{QS}$ and $\overleftrightarrow{TV}$ are parallel and $\angle VUW$ and $\angle SRU$ are corresponding angles, $m\angle SRU=m\angle VUW$.

Answer:

$123$