Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle qro = 136^{circ}$, what is $mangle nor$?

Explanation:

Step1: Recall property of parallel lines

When two parallel lines are cut by a transversal, corresponding - angles are equal and vertical - angles are equal. $\angle QRO$ and $\angle NOR$ are vertical angles.

Step2: Use vertical - angle property

Vertical angles are congruent. Given $m\angle QRO = 136^{\circ}$, then $m\angle NOR=m\angle QRO$.

Answer:

$136$