Answer:
m∠2 = 124° by the same-side interior angles theorem
Explanation:
Your answers for m∠1 are correct. Corresponding angles are always equivalent. Because ∠1 corresponds with another angle with the measure of 56°, the m∠1 = 56°.
Same-side interior angles always add up to 180°. Right now, ∠1 and ∠2 are the same-side interior angles. Therefore, m∠1 + m∠2 = 180°. We already know that m∠1 = 56°, so lets plug that into m∠1 + m∠2 = 180°:
56° + m∠2 = 180°
Now solve for m∠2
-56° both sides
m∠2 = 180° - 56°
simplify
m∠2 = 124°
m∠2 = 124° by the same-side interior angles theorem