Check the attached file for the solution.
Answer:
Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.
This question stumped me too at first. I hope this helps!
Answer:
27. Alternate exterior angles are congruent.
28. Same-side interior angles are supplementary.
Step-by-step explanation:
27. The two angles whose measures are set equal by the equation are on opposite sides of the transversal, so are "opposite." They are "outside" the space between the parallel lines, so are "exterior." These descriptors identify the angles as "opposite exterior" angles. The theorem/postulate that lets you set their measures equal is ... [the one written above].
28. The two angles whose measures are added in the equation are on the same side of the transversal, so are "same-side" angles. They are "inside" the space between the parallel lines, so are "interior." These descriptors identify the angles as "same-side interior" angles. The theorem/postulate that says their measures sum to 180° is ... [the one written above].
Let's set it up like this:

Find the LCD, which is 12, and adjust them according to that.

Divide.

Cancel the common factor, which is 12.

That would be our answer!
Let me know if you have any questions regarding this problem!
Thanks!
-TetraFish
(x - 9)(x + 9) would give you x^2 - 81 when you get a plus and minus like that after you factor the middle term is canceled out so the answer would be (x - 9)^2