Question

find m∠mqn.
first, find m∠jqk.
m∠jqk = □°

Explanation:

Step1: Recall vertical angles property

Vertical angles are equal.

Step2: Identify vertical angles

$\angle JQK$ and the angle with measure $80^{\circ}+30^{\circ}$ are vertical angles.
$$m\angle JQK=80^{\circ}+30^{\circ}$$

Step3: Calculate

$$m\angle JQK = 110^{\circ}$$

Answer:

$110$