Question

1. ∠1 and ∠2 are vertical angles. if the measure of ∠2 is 105°, find the measure of ∠1.

Explanation:

Step1: Recall vertical - angle property

Vertical angles are congruent.

Step2: Apply the property

Since $\angle1$ and $\angle2$ are vertical angles and $m\angle2 = 105^{\circ}$, then $m\angle1=m\angle2$.

Answer:

$105^{\circ}$