Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle{jkh}=40.1^{circ}$, what is $mangle{lkh}$?

Explanation:

Step1: Recall linear - pair property

Linear - pair angles are supplementary, meaning they add up to 180°. $\angle{JKH}$ and $\angle{LKH}$ form a linear - pair.
Let $m\angle{JKH}=40.1^{\circ}$ and $m\angle{LKH}=x$. Then $m\angle{JKH}+m\angle{LKH}=180^{\circ}$.

Step2: Solve for $m\angle{LKH}$

$x = 180^{\circ}-m\angle{JKH}$.
Substitute $m\angle{JKH}=40.1^{\circ}$ into the equation: $x=180 - 40.1$.
$x = 139.9^{\circ}$

Answer:

$139.9$