Math Help (Corresponding Angles)?

Question

I have a final wednes and i need help!!! i tried reaserching this online but i kept getting mixed information...Corresponding Angles. I know that opposite angles (Angles ontop of eachother) are equal to each other but i keep getting confused about how to tell if a certain angle is equal to another or opposite that angle that is labeled what it is. My teacher said something about making a "z" and when i do that i get the answer of solving "x" wrong. please help...im talking about these kinds of angles http://www.mathnstuff.com/math/spoken/here/2class/260/trans1.gif

Thank you all for your help but i still do not know how i would solve for "x" for ex: look at question number 3 http://regentsprep.org/Regents/math/geometry/GP8/PracParallel.htm

Answer 1

I checked the info on this page and it's all right:
http://www.mathsrevision.net/gcse/pages.php?page=17

You want to use the first part of it, up to Angle Sum of a Triangle.

Answer 2

The corresponding angles are:
1 and 5, 3 and 7, 2 and 6, 4 and 8. Corresponding angles are equal to each other.

The alternate interior angles are:3 and 6, 4 and 5. Alternate interior angles are equal to each other.

The alternate exterior angles are 1 and 8, 2 and 7. Alternate exterior angles are equal to each other.

Interior angles on the same side of the transversal are 4 an 6, 3 and 5. Interior angles on the same side of the transversal are supplementary (add to 180).

The above is true if the lines cut by the transversal are parallel.

Answer 3

angle 1 = angle 5
angle 2 = angle 6
angle 3 = angle 7
angle 4 = angle 8

1+2=180
1+3=180
2+4=180
3+4=180
5+6=180
5+7=180
6+8=180
7+8=180

Answer 4

This page explains it in some detail:
http://mathforum.org/library/drmath/view/54661.html

Remember that two adjacent angles on the same line will add up to 180. So in your diagram, if l || m, then there are only two different angles here. Angles 1, 4, 5, and 8 are the same. Angles 2, 3, 6 and 7 are all the same too.

Answer 5

what you got to remember is a straight line is 180 degrees, so if you take your image then you know angle 1 is 180 degrees minus angle 2.
Name angle 1 "x" and name angle 2 "y".
x+y=180.
angle 2 and 4 also give 180 degrees, so now name angle 4 z. you know y+z=180 and x+y=180, this can be change to 180-y=z and 180-y=x, so that means x=z.
Practice it a little, reread it until you see how it makes sense and you should eventually get the hang of it. It's fairly fool-proof logic.

Answer 6

in this diagram, 1 and 4 are =, 2 and 3 are=, 6 and 7 are =, and 5 and 8 are =.

as far as opposites i think you are talking about supplementary angles, when the angles add up to 180

Answer 7

in that picture, 1, 5, 4, 8 are equal and the other numbers are equivalent to themselves

Answer 8

the following two links explains how to determine corresponding angles and also summarizes the properties of parallel lines:

http://library.thinkquest.org/C0110248/geometry/angleparl.htm

http://www.mathsrevision.net/gcse/pages.php?page=17

hope this helps you in your preparation for the exam. all the best!

Answer 9

yes

Answer 10

math ahhhhhhhhh my not so beautiful subject! y am i even on this math page thing???