Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle jkm = 111^{circ}$, what is $mangle lkm$?

Explanation:

Step1: Recall angle - sum property

$\angle JKM$ and $\angle LKM$ form a linear - pair. The sum of the measures of angles in a linear - pair is $180^{\circ}$.
So, $m\angle JKM + m\angle LKM=180^{\circ}$.

Step2: Solve for $m\angle LKM$

We know that $m\angle JKM = 111^{\circ}$. Substitute this value into the equation:
$m\angle LKM=180^{\circ}-m\angle JKM$.
$m\angle LKM = 180 - 111$.
$m\angle LKM = 69^{\circ}$.

Answer:

$69$