To find m∠1, we can use the fact that 57^(∘) and ∠1 form a linear pair. By the Linear Pair Postulate, they are supplementary which means their measures add up to 180^(∘):
m∠1+57^(∘)= 180^(∘) ⇔ m∠1= 123^(∘).
To find m∠2, we can either use the fact that 57^(∘) and ∠2 are alternate interior angles or we can use that ∠1 and ∠2 are consecutive interior angles. If we go with the Alternate Interior Angles Theorem, we know that these angles are congruent.
m∠2= 57^(∘).
