Question

look at this diagram: if jl and mo are parallel lines and m∠mnk = 50°, what is m∠lkn?

Explanation:

Step1: Identify angle - relationship

$\angle MNK$ and $\angle LKN$ are alternate - interior angles.

Step2: Apply the property of alternate - interior angles

For parallel lines $JL$ and $MO$ cut by transversal $IP$, alternate - interior angles are congruent. So $m\angle LKN=m\angle MNK$.

Answer:

$50$