Question

look at this diagram: if (overleftrightarrow{jl}) and (overleftrightarrow{mo}) are parallel lines and (mangle lkn = 116^{circ}), what is (mangle mnk?)

Explanation:

Step1: Identify angle - relationship

$\angle LKN$ and $\angle MNK$ 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 $\overrightarrow{JL}$ and $\overrightarrow{MO}$ are parallel and $\angle LKN = 116^{\circ}$, then $\angle MNK=\angle LKN$.

Answer:

$116$