Question

look at this diagram: if (overleftrightarrow{jl}) and (overleftrightarrow{mo}) are parallel lines and (mangle mnp = 139^{circ}), what is (mangle jkn?)

Explanation:

Step1: Identify angle - relationship

$\angle MNP$ and $\angle JKN$ are corresponding angles (since $\overleftrightarrow{JL}$ and $\overleftrightarrow{MO}$ are parallel lines and $\overleftrightarrow{IP}$ is a transversal).

Step2: Apply property of corresponding angles

Corresponding angles formed by parallel lines and a transversal are congruent. So $m\angle JKN=m\angle MNP$.

Answer:

$139$