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 alternate interior angles converse alternate exterior angles converse of consecutive interior angles

Explanation:

Step1: Recall parallel - line criteria

Parallel lines can be proven using angle - related postulates and theorems. When two lines are cut by a transversal, if certain angle relationships hold, the lines are parallel.

Step2: Analyze given angles

The given angles are alternate interior angles. According to the converse of the alternate interior angles theorem, if two lines are cut by a transversal and the alternate interior angles are congruent, then the two lines are parallel. Since we have a pair of alternate interior angles shown in the diagram, there is enough information to prove the lines are parallel.

Answer:

Yes, Converse of alternate interior angles