Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle qro = 44^{circ}$, what is $mangle por$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply property of alternate - interior angles

When two parallel lines ($NP$ and $QS$) are cut by a transversal ($TM$), alternate - interior angles are congruent. So $m\angle POR=m\angle QRO$.

Answer:

$44$