Question

Given that r||s and q is a transversal, we know that by the [________]. corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Answer 1

Explanation:

A. Alternate interior angles theorem.

Answer 2

alternate interior angles theorem

Explanation:

The alternate interior angles theorem states that when two parallel lines are cut by a transversal, the resulting angles produced are a pair of congruent alternate interior angles.

Given the image attached below, both line k and line l are parallel to each other and also, line t is the transversal, therefore the resulting congruent alternate interior angles produced are:

∠ 4 ≅ ∠6, ∠1 ≅ ∠7