Question

look at this diagram: if (overleftrightarrow{hj}) and (overleftrightarrow{km}) are parallel lines and (mangle jig = 53^{circ}), what is (mangle mli)?

Explanation:

Step1: Identify angle - type relationship

$\angle JIG$ and $\angle MLI$ are corresponding angles.

Step2: Apply corresponding - angles property

For parallel lines $HJ$ and $KM$ cut by a transversal, corresponding angles are equal. Given $m\angle JIG = 53^{\circ}$, so $m\angle MLI=m\angle JIG$.

Answer:

$53$