Geometry question. help please. worth 10 points. ?

Question

I'm taking practice exams and this question is confusing. can someone help please. no sarcasm. thank you in advance.

link

http://i127.photobucket.com/albums/p153/nanipics1/emamgeo003.jpg

Answer 1

If two parallel lines are cut by a transversal, then corresponding angles are equal.

Angle, angle theorem (when two corresponding angles of triangles are congruent, the triangles are similar figures)  

Answer 2

aw man..proofs where the whole reason i failed geometry in high school.

i thought i would never see one again.

Answer 3

23. It is given.

24. Angels between two parallel lines, crossed by one line, sitting both to the upper-right (or both to the upper-left) of the point in which the lines cross are equal.

25. All angels are equal (because, C=C, and 24.)

Answer 4

Reasons

23. Given, because they tell you both the sides are parallel

24. Corresponding Angles Postulate, because the angles that they give you are on the same place in the triangles and on the same side of the parallel sides

25. Angle Angle Similarity Theorem (AA~), because this theorem states that if there are two pairs of congruent angles in a triangle then the third pair must of angles must be congruent as well, making the triangles similar

I took Geometry last year and got an A in it, so I hope I helped.