Question

find m∠1 and m∠2 given that lines n and m are parallel. justify your answer.
m∠1 = 65° by the alternate interior angles theorem.

Explanation:

Step1: Identify angle - relationship for ∠1

∠1 and the 65° angle are alternate interior angles. Since lines n and m are parallel, by the alternate - interior angles theorem, alternate interior angles are congruent. So m∠1 = 65°.

Step2: Identify angle - relationship for ∠2

∠2 and the 65° angle are corresponding angles. Since lines n and m are parallel, by the corresponding angles postulate, corresponding angles are congruent. So m∠2 = 65°.

Answer:

m∠1 = 65°, m∠2 = 65°