Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle{sro}=63^{circ}$, what is $mangle{qrt}$?

Explanation:

Step1: Identify angle - relationship

$\angle SRO$ and $\angle QRT$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle QRT=m\angle SRO$.

Answer:

$63$