Question

look at this diagram: if $overleftrightarrow{gi}$ and $overleftrightarrow{jl}$ are parallel lines and $mangle{jkh}=55^{circ}$, what is $mangle{lkh}?$

Explanation:

Step1: Recall angle - addition property

Angles $\angle{JKH}$ and $\angle{LKH}$ are a linear - pair. A linear - pair of angles are supplementary, which means their sum is $180^{\circ}$.
Let $m\angle{JKH} = 55^{\circ}$ and $m\angle{LKH}=x$. Then $m\angle{JKH}+m\angle{LKH}=180^{\circ}$.

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

We have the equation $55^{\circ}+x = 180^{\circ}$.
Subtract $55^{\circ}$ from both sides of the equation: $x=180^{\circ}- 55^{\circ}$.
$x = 125^{\circ}$.

Answer:

$125$