Question

use the diagram to the right. if ∠1≅∠7, what theorem can you use to show that m∥n? choose the correct answer below. a. the lines are parallel by the converse of the same - side interior angles theorem. b. the lines are parallel by the converse of the corresponding angles theorem. c. the lines are parallel by the converse of the alternate exterior angles theorem.

Explanation:

$\angle1$ and $\angle7$ are alternate - exterior angles. If two alternate - exterior angles are congruent, then the two lines are parallel according to the Converse of the Alternate Exterior Angles Theorem.

Answer:

C. The lines are parallel by the Converse of the Alternate Exterior Angles Theorem.