Question

use the diagram to the right.
if ∠3 ≅ ∠9, what theorem can you use to show that j||k?
choose the correct answer below.
o a. the lines are parallel by the corresponding angles theorem.
o b. the lines are parallel by the alternate interior angles theorem.
o c. the lines are parallel by the same-side interior angles theorem.
o d. the lines are parallel by the alternate exterior angles theorem.

Explanation:

• $\angle3$ and $\angle9$ are alternate exterior angles.
• The Alternate Exterior Angles Theorem states that if two lines are cut by a transversal and the alternate exterior angles are congruent, then the two lines are parallel.

Answer:

D. The lines are parallel by the Alternate Exterior Angles Theorem.