Question

look at this diagram: if jl and mo are parallel lines and m∠ikl = 114°, what is m∠jkn?

Explanation:

Step1: Identify vertical - angle relationship

$\angle LKI$ and $\angle JKN$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So $m\angle JKN=m\angle LKI$.

Answer:

$114$