Question

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

Explanation:

Step1: Recall vertical - angle property

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

Step2: Apply the property

Since $\angle QRT$ and $\angle SRO$ are vertical angles, $m\angle SRO=m\angle QRT$.

Answer:

$63$