Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle por = 49^{circ}$, what is $mangle qro$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overleftrightarrow{NP}\parallel\overleftrightarrow{QS}$ and $\angle POR$ and $\angle QRO$ are alternate - interior angles, $m\angle QRO=m\angle POR$.

Answer:

$49$