Question

look at this diagram: if $overleftrightarrow{np}$ and $overleftrightarrow{qs}$ are parallel lines and $mangle por = 116^{circ}$, what is $mangle nor?$

Explanation:

Step1: Recall angle - addition property

$\angle POR+\angle NOR = 180^{\circ}$ (linear - pair of angles).

Step2: Solve for $\angle NOR$

$\angle NOR=180^{\circ}-\angle POR$.
Substitute $\angle POR = 116^{\circ}$ into the equation: $\angle NOR=180 - 116$.
$\angle NOR = 64^{\circ}$.

Answer:

$64$