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look at this diagram: if $overleftrightarrow{jl}$ and $overleftrightarr…

Question

look at this diagram: if $overleftrightarrow{jl}$ and $overleftrightarrow{mo}$ are parallel lines and $mangle mnp = 69^{circ}$, what is $mangle onk$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle MNP$ and $\angle ONK$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. Given $m\angle MNP = 69^{\circ}$, then $m\angle ONK=m\angle MNP$.

Answer:

$69$