Question

is there enough information to prove that lines p and q are parallel? if so, state the postulate or theorem you would use. you have to select 2 answers if you select yes. multiple answer 2 points yes no converse of corresponding angles converse of alternate interior angles converse of alternate exterior angles converse of consecutive interior angles multiple answer 2 points

Explanation:

Step1: Recall parallel - line postulates

If two lines are cut by a transversal and a pair of corresponding angles are congruent, then the two lines are parallel. In the given figure, the two angles marked as \(x^{\circ}\) are corresponding angles.

Step2: Determine parallel - line condition

Since the two corresponding angles are equal (both \(x^{\circ}\)), by the converse of the corresponding - angles postulate, we can prove that lines \(p\) and \(q\) are parallel.

Answer:

Yes, converse of corresponding angles.