Question

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

Explanation:

Step1: Identify angle - type relationship

$\overleftrightarrow{HJ}$ and $\overleftrightarrow{KM}$ are parallel lines and $\angle HIL$ and $\angle MLI$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, $m\angle MLI=m\angle HIL$.

Answer:

$53$