Question

look at this diagram: if $overleftrightarrow{hj}$ and $overleftrightarrow{km}$ are parallel lines and $mangle kli = 134.3^{circ}$, what is $mangle kln$?

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°. $\angle KLI$ and $\angle KLN$ form a linear - pair.

Step2: Set up the equation

Let $m\angle KLI = 134.3^{\circ}$ and $m\angle KLN=x$. Then $m\angle KLI + m\angle KLN=180^{\circ}$, so $134.3^{\circ}+x = 180^{\circ}$.

Step3: Solve for $x$

$x=180^{\circ}-134.3^{\circ}=45.7^{\circ}$.

Answer:

$45.7$