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Mathematics 8 Online
OpenStudy (anonymous):

Help!!! will give medal :) find the values of w, x, y, and z

OpenStudy (anonymous):

|dw:1375145110728:dw|

OpenStudy (loser66):

@magbak try on this, please

OpenStudy (anonymous):

@Hero @phi @robtobey @texaschic101 @GoldPhenoix

OpenStudy (anonymous):

@radar

OpenStudy (anonymous):

@kelliegirl33

OpenStudy (anonymous):

@eashmore @inkyvoyd @blurbendy @Zale101

OpenStudy (dumbcow):

w=x x=y y=z z=pi

OpenStudy (dumbcow):

jk :)

OpenStudy (anonymous):

w is an corresponding angle with 70. w and x are consecutive angles. Their sum must equal 180. y and z are consecutive angles |dw:1375143149421:dw| 70, 42 and a must equal 180. If a and w are known, a, w, and y must add to the interior angle of a triangle. or 180 degrees.

OpenStudy (anonymous):

so is w=70?

OpenStudy (anonymous):

Correct. Corresponding angles are equal to each other.

OpenStudy (anonymous):

ok then to get y I take 180-70 y=110?

OpenStudy (anonymous):

You need to find 'a' first. 180 = 70 + 42 + 'a'

OpenStudy (anonymous):

Then, 180 = y + w + a

OpenStudy (anonymous):

ok so I take 70+42=112/180 im getting a weird number

OpenStudy (anonymous):

a = 180 - 112 = 68

OpenStudy (anonymous):

You don't need to divide.

OpenStudy (anonymous):

oops so now I take 180=70+68 to get y?

OpenStudy (anonymous):

\[180 = y + w + a \rightarrow y = 180 - w - a \rightarrow y = 180 - 70 - 68\]

OpenStudy (anonymous):

y=42?

OpenStudy (anonymous):

Correct.

OpenStudy (anonymous):

alright! now how do I find z and x

OpenStudy (anonymous):

z and y are consecutive angles along the same line. They must add to 180. |dw:1375144031525:dw|

OpenStudy (anonymous):

w and x follow the same rule.

OpenStudy (anonymous):

so I would take 180-42 to get z and 180-70 to get x?

OpenStudy (anonymous):

You got it!

OpenStudy (anonymous):

You might find this site helpful. It illustrates the relationship between angles involving two parallel lines: http://www.mathsisfun.com/geometry/parallel-lines.html

OpenStudy (anonymous):

Alright! thanks so much for the help :)

OpenStudy (anonymous):

You're welcome! Keep up the good work.

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