Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle kln = 123^{circ}$, what is $mangle jig$?

Explanation:

Step1: Identify angle - relationship

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

Step2: Apply corresponding - angles property

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

Answer:

$123$