Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle hig = 128^{circ}$, what is $mangle klm$?

Explanation:

Step1: Identify angle - relationship

$\angle HIG$ and $\angle KLM$ are corresponding angles since $\overleftrightarrow{HJ}$ and $\overleftrightarrow{KM}$ are parallel lines and $\overleftrightarrow{NG}$ is a transversal.

Step2: Apply corresponding - angles property

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

Answer:

$128^{\circ}$