Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle pom = 47^{circ}$, what is $mangle por$?

Explanation:

Step1: Identify angle - relationship

$\angle POM$ and $\angle POR$ are alternate - interior angles.

Step2: Apply property of parallel lines

When two parallel lines ($\overleftrightarrow{NP}$ and $\overleftrightarrow{QS}$) are cut by a transversal ($\overleftrightarrow{TM}$), alternate - interior angles are congruent. So, $m\angle POR=m\angle POM = 47^{\circ}$.

Answer:

$47^{\circ}$