Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle klj = 67.6^{circ}$, what is $mangle poq$?

Explanation:

Step1: Identify angle - relationship

$\angle KLJ$ and $\angle POQ$ are corresponding angles.

Step2: Apply corresponding - angles property

When two parallel lines are cut by a transversal, corresponding angles are equal. Since $\overleftrightarrow{KM}\parallel\overleftrightarrow{NP}$, we have $m\angle POQ = m\angle KLJ$.

Answer:

$67.6$