Question

if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel lines and $mangle sru = 128^{circ}$, what is $mangle qrp$?

Explanation:

Step1: Identify vertical - angle relationship

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

Step2: Recall vertical - angle property

Vertical angles are congruent, i.e., if two angles are vertical angles, they have equal measures.
Since $m\angle SRU = 128^{\circ}$, then $m\angle QRP=m\angle SRU$.

Answer:

$128$