Question

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

Explanation:

Step1: Identify vertical - angle relationship

Vertical angles are equal. $\angle SRU$ and $\angle QRP$ are vertical angles.

Step2: Apply vertical - angle property

Since vertical angles are congruent, if $m\angle SRU = 123^{\circ}$, then $m\angle QRP=m\angle SRU$.

Answer:

$123$