Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle qpr = 47^{circ}$, what is $mangle opm$?

Explanation:

Step1: Identify vertical - 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:

$47$