Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle klo = 70^{circ}$, what is $mangle klj$?

Explanation:

Step1: Identify angle - pair relationship

$\angle KLO$ and $\angle KLJ$ are supplementary angles (a linear - pair of angles).

Step2: Use the supplementary - angle formula

The sum of supplementary angles is $180^{\circ}$. Let $m\angle KLJ = x$ and $m\angle KLO=70^{\circ}$. Then $x + 70^{\circ}=180^{\circ}$.

Step3: Solve for the unknown angle

$x=180^{\circ}-70^{\circ}$.
$x = 110^{\circ}$.

Answer:

$110$