Answer:
m∠2 = 75°
m∠1 = 105°
Step-by-step explanation:
1. First, we should recognize that the angle that's 75° and ∠2 are alternate interior angles, formed on the interior of the opposite sides of the transversal. Alternate interior angles are congruent, so m∠2 = 75°.
2. Next, ∠2 and ∠1 are a linear pair, meaning their angle measures add up to 180°. Considering that m∠2 is 75 degrees, we just have to subtract 75 from 180, and we get the measure of ∠1.
- [tex]180-75[/tex]
- [tex]105[/tex]
Therefore, m∠1 = 105°.
