Question

Ray knows that the m∠3 = m∠6. Which of the following conclusions can Ray make based on the given information? Lines l and m are parallel because alternate interior angles are equal. Lines l and m are parallel because alternate exterior angles are equal. Lines l and m are parallel because corresponding angles are equal. No conclusion can be made about the lines.

Answer 1

Answer:

A) Lines I and M are parallel because alternate (interior) angles are equal.

Step-by-step explanation:

Hello, as I just did this lesson, to confirm my answer - look at the graph.

If you know the difference between alternate interior and alternate exterior, answering this should be fairly easy. Hope this helps! (:

Answer 2

If two lines are intersected by a transversal, and the alternate interior angles are equal, then the lines are parallel.

Conversely, if two lines are parallel, then the alternate interior angles formed by the transversal are equal.

So, Ray can made the conclusion that l and m are parallel because alternate interior angles are equal since m∠3 = m∠6.