Question

look at this diagram: if (overrightarrow{ik}) and (overrightarrow{ln}) are parallel lines and (mangle{nmo}=63^{circ}), what is (mangle{lmj}?)

Explanation:

Step1: Identify vertical - angle relationship

$\angle NMO$ and $\angle LMJ$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So $m\angle LMJ=m\angle NMO$.

Answer:

$63^{\circ}$