Question

look at this diagram: if (overline{jl}) and (overline{mo}) are parallel lines and (mangle lki = 55^{circ}), what is (mangle mnp)?

Explanation:

Step1: Identify angle - relationship

Since $\overline{JL}$ and $\overline{MO}$ are parallel, $\angle LKI$ and $\angle MNP$ are corresponding angles.

Step2: Apply corresponding - angles property

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

Answer:

$55^{\circ}$