Question

Given ∠2≅∠8, which theorem allows you to conclude m∥n?

A. Alternate Interior Angles Theorem
B. Converse of Same-Side Interior Angles Theorem
C. Converse of Alternate Interior Angles Theorem
D. Converse of Alternate Exterior Angles Theorem
E. Alternate Exterior Angles Theorem
Same-Side Interior Angles Theorem

Answer 1

C. Converse of Alternate Interior Angles Theorem

Explanation:

Look for a Z shape (or a backwards Z) where the top and bottom bars of the Z are the parallel lines. Then the alternate interior angles are tucked into the the "corners" of the Z. The answer A is close but it says if the lines are parallel then the angles are congruent (the alt-int angles) So the converse is that if the alt-int angles are congruent then the lines are parallel. Your answer is C.