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look at this diagram: if jl and mo are parallel lines and m∠onp = 46°, …

Question

look at this diagram: if jl and mo are parallel lines and m∠onp = 46°, what is m∠mnk?

Explanation:

Step1: Identify angle - relationship

$\angle ONP$ and $\angle MNK$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle MNK=m\angle ONP$.

Answer:

$46$