Question

find m∠mqn. first, find m∠jqk. m∠jqk = 79 ° now, find m∠mqn. m∠mqn = 180 vertical angles have the same measure.

Explanation:

Step1: Sum angles around point Q

Angles around point \( Q \): \( 70^\circ + 30^\circ + 80^\circ + m\angle MQN = 360^\circ \)

Step2: Calculate \( m\angle MQN \)

\( m\angle MQN = 360^\circ - (70^\circ + 30^\circ + 80^\circ) = 360^\circ - 180^\circ = 180^\circ \)

Answer:

180