Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle kln = 121^{circ}$, what is $mangle hil$?

Explanation:

Step1: Identify vertical - angle relationship

$\angle KLN$ and $\angle HIG$ are vertical angles. Vertical angles are congruent.

Step2: Determine the measure of $\angle HIG$

Since $\angle KLN = 121^{\circ}$ and $\angle KLN\cong\angle HIG$, then $m\angle HIG=121^{\circ}$.

Answer:

$121^{\circ}$