Question

decide whether there is enough information to prove (mparallel n). if so, state the theorem you can use. if not, answer \cannot\ for the blank below. you can use alternate interior angles converse to prove (mparallel n).

Explanation:

Step1: Identify angle - relationship

The Alternate Interior Angles Converse theorem states that if alternate interior angles are congruent, then the two lines are parallel. Here, we assume that the relevant alternate - interior angles formed by lines \(m\), \(n\) and transversal \(r\) are congruent.

Step2: Apply the theorem

Since we can use the Alternate Interior Angles Converse, we have enough information to prove \(m\parallel n\).

Answer:

Yes