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:

Alternate - interior angles are the angles that lie between two parallel lines and on opposite sides of the transversal. Here, lines \(r\) and \(s\) are parallel and \(q\) is the transversal. \(\angle3\) and \(\angle6\) are between \(r\) and \(s\) and on opposite sides of \(q\). The corresponding - angles theorem refers to angles in the same relative position with respect to the parallel lines and the transversal. Vertical - angles are the angles opposite each other when two lines intersect. Alternate - exterior angles are outside the two parallel lines and on opposite sides of the transversal.

Answer:

alternate interior angles theorem