Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle jig = 120^{circ}$, what is $mangle kln$?

Explanation:

Step1: Identify corresponding angles

$\angle JIG$ and $\angle KLN$ are corresponding angles since $\overleftrightarrow{HJ}$ and $\overleftrightarrow{KM}$ are parallel lines cut by the transversal $\overleftrightarrow{NG}$.

Step2: Use property of corresponding angles

Corresponding - angles formed by parallel lines and a transversal are congruent. So $m\angle KLN=m\angle JIG$.

Answer:

$120$