Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle mln = 63^{circ}$, what is $mangle jil$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle MLN$ and $\angle JLI$ are vertical angles.

Step2: Apply vertical - angle property

Vertical angles are congruent. So, if $m\angle MLN = 63^{\circ}$, then $m\angle JLI=m\angle MLN$.

Answer:

$63^{\circ}$