Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle mlj = 69.2^{circ}$, what is $mangle klj$?

Explanation:

Step1: Identify angle - relationship

$\angle MLJ$ and $\angle KLJ$ are supplementary angles since they form a linear - pair.

Step2: Use the supplementary - angle formula

The sum of two supplementary angles is $180^{\circ}$. Let $x = m\angle KLJ$ and $y=m\angle MLJ = 69.2^{\circ}$. Then $x + y=180^{\circ}$, so $x=180^{\circ}-y$.

Step3: Calculate the angle measure

Substitute $y = 69.2^{\circ}$ into the formula: $x=180^{\circ}-69.2^{\circ}=110.8^{\circ}$.

Answer:

$110.8$