Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle jil = 56.6^{circ}$, what is $mangle kli$?

Explanation:

Step1: Identify angle - pair relationship

$\angle JIL$ and $\angle KLI$ are alternate - interior angles.

Step2: Apply property of alternate - interior angles

When two parallel lines ($HJ$ and $KM$) are cut by a transversal ($GN$), alternate - interior angles are congruent. So $m\angle KLI=m\angle JIL$.

Answer:

$56.6$