Question

if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle qpr = 63^{circ}$, what is $mangle opm$?

Explanation:

Step1: Identify angle - relationship

$\angle QPR$ and $\angle OPM$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle OPM=m\angle QPR$.

Answer:

$63$