Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle mln = 132^{circ}$, what is $mangle jig$?

Explanation:

Step1: Identify angle - relationship

$\angle MLN$ and $\angle JIG$ are corresponding angles. When two parallel lines are cut by a transversal, corresponding angles are congruent.

Step2: Determine the measure of $\angle JIG$

Since $\angle MLN = 132^{\circ}$ and $\angle MLN\cong\angle JIG$, then $m\angle JIG = 132^{\circ}$.

Answer:

$132$