Question

look at this diagram: if $overleftrightarrow{ln}$ and $overleftrightarrow{oq}$ are parallel lines and $mangle{lmp}=116^{circ}$, what is $mangle{nmk}$?

Explanation:

Step1: Identify angle - type relationship

$\angle LMP$ and $\angle NMK$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle NMK=m\angle LMP$.

Answer:

$116$