Question

look at this diagram: if $overleftrightarrow{qs}$ and $overleftrightarrow{tv}$ are parallel lines and $mangle srp = 54.2^{circ}$, what is $mangle qru$?

Explanation:

Step1: Identify angle - relationship

$\angle SRP$ and $\angle QRU$ are vertical - angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle QRU=m\angle SRP$.

Answer:

$54.2$