Question

question 3
in the figure, lines m and n are parallel.
if m∠2 = 77°, what is m∠4?

Explanation:

Step1: Identify angle - pair relationship

$\angle2$ and $\angle4$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. So if $m\angle2 = 77^{\circ}$, then $m\angle4=m\angle2$.

Answer:

$77^{\circ}$