Question

multiple answer 2 points
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 criteria

Parallel lines have equal corresponding angles, alternate interior angles, and alternate exterior angles, and consecutive interior angles are supplementary.

Step2: Analyze given angles

The two angles given are corresponding angles and they are both 90°.

Step3: Apply the converse of corresponding - angles postulate

If corresponding angles are equal, then the lines are parallel. Since the two corresponding angles are equal (both 90°), lines p and q are parallel.

Answer:

Yes, Converse of corresponding angles