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Which is greater x+y or 180-z

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Which is greater x+y or 180-z [#permalink] New post 13 May 2018, 14:56
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Quantity A
Quantity B
\(x+y\)
\(180 - z\)


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

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Re: x + y [#permalink] New post 14 May 2018, 08:27
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Carcass wrote:
Attachment:
lines.jpg


Quantity A
Quantity B
x+y
180-z


A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.


Since vertically opposite angles are equal, we can add the following to our diagram
Image

Next, since angles on a line add to 180°...
Image
...we can write: x + y + z = 180


If we take x + y + z = 180 and subtract z from both sides, we get: x + y = 180 - z

So, the Quantity A and Quantity B are EQUAL

Answer: C

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Re: Which is greater x+y or 180-z [#permalink] New post 19 Jan 2019, 16:12
x+y+z = 180

x+y = 180-z
Re: Which is greater x+y or 180-z   [#permalink] 19 Jan 2019, 16:12
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