Question

look at this diagram: if (overleftrightarrow{jl}) and (overleftrightarrow{mo}) are parallel lines and (mangle lki = 40^{circ}), what is (mangle onk?)

Explanation:

Step1: Identify corresponding - angles

Since $\overleftrightarrow{JL}$ and $\overleftrightarrow{MO}$ are parallel lines and $\angle LKI$ and $\angle ONK$ are corresponding angles.

Step2: Apply corresponding - angles property

Corresponding angles formed by parallel lines and a transversal are congruent. So $m\angle ONK=m\angle LKI$.

Answer:

$40$