Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle kln = 66^{circ}$, what is $mangle mln$?

Explanation:

Step1: Recall linear - pair property

Linear - pair angles add up to 180°. $\angle KLN$ and $\angle MLN$ form a linear pair.

Step2: Set up the equation

Let $m\angle MLN=x$. We know that $m\angle KLN + m\angle MLN=180^{\circ}$. Given $m\angle KLN = 66^{\circ}$, so $66^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-66^{\circ}=114^{\circ}$.

Answer:

$114$