Find the values of w, x, y, and z.

Question

anonymous · Answer

attachment

hartnn · Answer

Do you know what are corresponding and alternate angles between parallel lines ?

anonymous · Answer

no

anonymous · Answer

im homeschooled and to learn we have to self learn and im not understanding anything.

hartnn · Answer

then this might be helpful, have a look http://www.mathsisfun.com/geometry/corresponding-angles.html

anonymous · Answer

ok

hartnn · Answer

could you find x now ?
x is corresponding to which angle ?

anonymous · Answer

i dont know :/

anonymous · Answer

I have 12 exams to do im only on my third on i got to have them done before august im stressing out because im probably going to fail....i jjust suck at this stuff and on top of that im so stressed im crying over stupid math like usual. math is evil...

hartnn · Answer

if you practice, is easy :)
now see,
|dw:1397719711181:dw|
a and b are corresponding angles,
do you see a pair of corresponding angles in your diagram ?

hartnn · Answer

how about 54 and x ?

anonymous · Answer

yeah but how do you show your work that that is a pair of corresponding angleS?

hartnn · Answer

you don't need to show that, its implicit. 
just say that since x and 54 degree angle are corresponding angles, they are equal.
so, x = 54

anonymous · Answer

oh..ok. so would that mean that y is 46 degrees?

hartnn · Answer

yes, but y= 46 , because they are ALTERNATE INTERIOR angles.

hartnn · Answer

|dw:1397719968729:dw|
c and d are alternate interior angles, hence c = d