Question

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

Explanation:

Step1: Recall angle - relationship

$\angle MLN$ and $\angle KLN$ are a linear - pair of angles.

Step2: Use linear - pair property

The sum of angles in a linear pair is $180^{\circ}$. So, $m\angle MLN + m\angle KLN=180^{\circ}$.

Step3: Solve for $m\angle KLN$

Given $m\angle MLN = 66^{\circ}$, then $m\angle KLN=180^{\circ}-m\angle MLN$. Substitute $m\angle MLN = 66^{\circ}$ into the equation: $m\angle KLN = 180 - 66=114^{\circ}$.

Answer:

$114^{\circ}$