Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle kli = 137^{circ}$, what is $mangle hig?$

Explanation:

Step1: Identify angle - relationship

$\angle KLI$ and $\angle HIG$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle HIG=m\angle KLI$.

Answer:

$137$