Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle nor = 53^{circ}$, what is $mangle sro$?

Explanation:

Step1: Identify angle - type relationship

$\angle NOR$ and $\angle SRO$ are alternate - interior angles.

Step2: Apply the property of alternate - interior angles

When two parallel lines are cut by a transversal, alternate - interior angles are congruent. Since $\overrightarrow{NP}\parallel\overrightarrow{QS}$ and line $MN$ is a transversal, $m\angle SRO=m\angle NOR$.

Answer:

$53^{\circ}$