Question

look at this diagram: if (overleftrightarrow{jl}) and (overleftrightarrow{mo}) are parallel lines and (mangle onk = 63^{circ}), what is (mangle lki)?

Explanation:

Step1: Identify angle - type relationship

$\angle ONK$ and $\angle LKI$ are corresponding angles.

Step2: Apply property of corresponding angles

When two parallel lines are cut by a transversal, corresponding angles are congruent. So $m\angle LKI=m\angle ONK$.

Answer:

$63$