Question

look at this diagram; if ik and ln are parallel lines and m∠hmj = 52°, what is m∠nmo?

Explanation:

Step1: Identify angle - relationship

$\angle{HMJ}$ and $\angle{NMO}$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent, so $m\angle{NMO}=m\angle{HMJ}$.

Answer:

$52$