Question

in the figure, m∠3 = 75° and m∠10 = 105°. find the measure of ∠7.

Explanation:

Step1: Observe angle - relationships

Notice that $\angle3$ and $\angle7$ are vertical angles.

Step2: Recall vertical - angle property

Vertical angles are congruent. That is, if two angles are vertical angles, they have the same measure.

Answer:

$75^{\circ}$