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. yes no converse corresponding angles converse of alternate interior angles converse of alternate exterior angles converse of consecutive interior angles

Explanation:

Step1: Recall parallel - line postulates

If two lines are cut by a transversal, and the corresponding angles are congruent, then the two lines are parallel. Here, the two given \(60^{\circ}\) angles are corresponding angles.

Step2: Determine the answer

Since the corresponding angles are equal (\(60^{\circ}=60^{\circ}\)), there is enough information to prove the lines are parallel using the converse of corresponding - angles postulate.

Answer:

Yes, Converse of corresponding angles