Question

look at this diagram! if jl and mo are parallel lines and m∠jki = 58°, what is m∠mnk?

Explanation:

Step1: Identify angle - relationship

$\angle JKI$ and $\angle MNK$ are corresponding angles.

Step2: Apply property of parallel lines

When two parallel lines are cut by a transversal, corresponding angles are equal. Since $\angle JKI = 58^{\circ}$, then $\angle MNK=\angle JKI$.

Answer:

$58^{\circ}$