Question

consider the diagram. given that r||s and q is a transversal, we know that ∠3≅∠6 by the . corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem

Explanation:

When two parallel lines ($r\parallel s$) are cut by a transversal ($q$), alternate - interior angles are congruent. $\angle3$ and $\angle6$ are alternate - interior angles. The corresponding angles theorem refers to angles in the same relative position, vertical angles theorem is about angles opposite each other at an intersection, and alternate exterior angles theorem is for angles outside the parallel lines and on opposite sides of the transversal.

Answer:

alternate interior angles theorem