Answer:
∠1 ≅ ∠2 by the Alternate Interior Angles Theorem
m∠3 = 130° due to the Congruent Supplements Theorem
Step-by-step explanation:
The Alternate Interior Angles Theorem State that if two parallel lines are split by a transversal, then the pairs of alternate interior angles are congruent.
In this case, the measure of ∠1 is equal to 180° - m∠3 due to the Congruent Supplements Theorem. So, m∠1 is equal to 50°, which also means m∠2 is also 50°.
