Question

look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel lines and $mangle sru = 116.7^{circ}$, 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, so $m\angle QRP=m\angle SRU$.

Answer:

$116.7$