To find m∠2, we can use the fact that 122^(∘) and ∠2 are consecutive interior angles. By the Consecutive Interior Angles Theorem, they are supplementary angles which means the sum of their measures is 180^(∘). Therefore, we have that
m∠2+122^(∘)=180^(∘) ⇔ m∠2= 58^(∘).
To find m∠1, we can either use the fact that 122^(∘) and ∠1 are alternate interior angles, or that ∠1 and ∠2 are a linear pair. By the Alternate Interior Angles Theorem, the pair of angles are congruent when the lines that are cut by the transversal are parallel. We have that
m∠1=122^(∘).
