Question

PLEASE! I REALLY NEED HELP!!!!!! (medal will go to best answer)

Can someone help me understand what angles would be created, by two parallel lines, which have two transversals running through them? Please explain how the different angles are related to each other (like how angles 1 and 14 are related to each other) and which angles would be complementary/supplementary. (file attached)

Thanks! =)

Answer 1

Gosh. You drew it very well, so I can tell you that based on your drawing, if it looks the same, it probably is congruent. For a list though:
1, 3, 5, 7, 9, 11, 13, 15 are all congruent by vertical angles, corresponding angles, alternate interior angles, and alternate exterior angles

2, 4, 6, 8, 10, 12, 14, 16 are all congruent by vertical angles, corresponding angles, alternate interior angles, and alternate exterior angles

1 and 2 are supplementary
1 and 4 are supplementary
3 and 2 are supplementary
3 and 4 are supplementary
5 and 6 are supplementary
5 and 8 are supplementary
7 and 6 are supplementary
7 and 8 are supplementary
1 and 8 are supplementary
2 and 7 are supplementary
4 and 5 are supplementary
3 and 6 are supplementary
And on and on and on...

Answer 2

Oh, my goodness - WOW!!!! Thank you for giving such a THOROUGH answer!!!! I really didn't expect someone to answer it this well - if I could, I would happily give you 10 medals! =) This is great - thank you very, very much!

Answer 3

Just keep the pattern going for the supplementary angles. There are other angles in the picture, but the list would be more than double that size, so I didn't put it because I thought you got the picture.

Answer 4

Ha, ha - yes, I do understand! :) Thank you!