Help!!! will give medal :) find the values of w, x, y, and z
|dw:1375145110728:dw|
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w=x x=y y=z z=pi
jk :)
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.
so is w=70?
Correct. Corresponding angles are equal to each other.
ok then to get y I take 180-70 y=110?
You need to find 'a' first. 180 = 70 + 42 + 'a'
Then, 180 = y + w + a
ok so I take 70+42=112/180 im getting a weird number
a = 180 - 112 = 68
You don't need to divide.
oops so now I take 180=70+68 to get y?
\[180 = y + w + a \rightarrow y = 180 - w - a \rightarrow y = 180 - 70 - 68\]
y=42?
Correct.
alright! now how do I find z and x
z and y are consecutive angles along the same line. They must add to 180. |dw:1375144031525:dw|
w and x follow the same rule.
so I would take 180-42 to get z and 180-70 to get x?
You got it!
You might find this site helpful. It illustrates the relationship between angles involving two parallel lines: http://www.mathsisfun.com/geometry/parallel-lines.html
Alright! thanks so much for the help :)
You're welcome! Keep up the good work.
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