Question

look at this diagram: if (overleftrightarrow{km}) and (overleftrightarrow{np}) are parallel lines and (mangle poq = 58^{circ}), what is (mangle mlj)?

Explanation:

Step1: Identify angle - type relationship

$\overleftrightarrow{KP}$ and $\overleftrightarrow{NP}$ are parallel lines and $\angle POQ$ and $\angle MLJ$ are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by parallel lines and a transversal are congruent. So, $m\angle MLJ=m\angle POQ$.

Answer:

$58^{\circ}$