Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle jig = 55^{circ}$, what is $mangle nlm$?

Explanation:

Step1: Identify angle - type relationship

$\angle JIG$ and $\angle NLM$ are corresponding angles. When two parallel lines ($HJ$ and $KM$) are cut by a transversal ($GN$), corresponding angles are congruent.

Step2: Determine angle measure

Since $\angle JIG = 55^{\circ}$ and $\angle JIG\cong\angle NLM$, then $m\angle NLM=55^{\circ}$.

Answer:

$55$