Question

look at this diagram. if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle mln = 126^{circ}$, what is $mangle mlj$?

Explanation:

Step1: Recall linear - pair property

A linear - pair of angles is supplementary, meaning the sum of the measures of two angles in a linear - pair is 180°. $\angle MLN$ and $\angle MLJ$ form a linear - pair.

Step2: Set up the equation

Let $m\angle MLN = 126^{\circ}$ and $m\angle MLJ=x$. Then $m\angle MLN + m\angle MLJ=180^{\circ}$, so $126^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

Subtract 126° from both sides of the equation: $x=180^{\circ}- 126^{\circ}$. So $x = 54^{\circ}$.

Answer:

$54$