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x+y [#permalink] New post 08 May 2018, 16:11
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Question Stats:

70% (00:25) correct 30% (01:33) wrong based on 10 sessions
Attachment:
lines.jpg
lines.jpg [ 19.68 KiB | Viewed 367 times ]


Quantity A
Quantity B
x+y
p+q



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 11 May 2018, 07:26
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Expert's post
Carcass wrote:
Attachment:
lines.jpg


Quantity A
Quantity B
x+y
p+q



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, let's add another angle () to the diagram.
Image

Since angles in a triangle add to 180°, we can write two equations:
w + x + y = 180
w + p + q = 180

Since both equations are equal to 180, we can write: w + x + y = w + p + q
Now subtract w from both sides of the equation to get: x + y = p + q

Answer: C

Cheers,
Brent
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Re: x+y   [#permalink] 11 May 2018, 07:26
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