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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]  13 May 2018, 14:56
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Question Stats:

94% (00:32) correct 5% (00:00) wrong based on 18 sessions
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#GREpracticequestion Which is greater x+y or 180-z.jpg [ 10.58 KiB | Viewed 128 times ]

 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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Kudos [?]: 1352 [1] , given: 8

Re: x + y [#permalink]  14 May 2018, 08:27
1
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Expert's post
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

Next, since angles on a line add to 180°...

...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

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Re: Which is greater x+y or 180-z [#permalink]  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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