Question

look at this diagram: if $overleftrightarrow{km}$ and $overleftrightarrow{np}$ are parallel lines and $mangle klo = 60^{circ}$, what is $mangle ku$?

Explanation:

Step1: Identify angle - relationship

$\angle KLO$ and $\angle KIJ$ are corresponding angles.

Step2: Apply parallel - lines property

When two parallel lines are cut by a transversal, corresponding angles are equal. Since $\overleftrightarrow{KM}$ and $\overleftrightarrow{NP}$ are parallel and $\angle KLO = 60^{\circ}$, then $\angle KIJ=\angle KLO$.

Answer:

$60$