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x+y or 120

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x+y or 120 [#permalink] New post 28 Jul 2018, 08:14
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Question Stats:

80% (00:16) correct 20% (00:00) wrong based on 10 sessions
Attachment:
shot24.jpg
shot24.jpg [ 8.88 KiB | Viewed 175 times ]


Quantity A
Quantity B
\(x+y\)
\(120\)


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

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[Reveal] Spoiler: OA

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Re: x+y or 120 [#permalink] New post 29 Jul 2018, 18:35
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Carcass wrote:
Attachment:
shot24.jpg


Quantity A
Quantity B
\(x+y\)
\(120\)


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

Kudos for R.A.E


As per Euclidean plane geometry:


Sum of all angles of a \(\triangle\) = 180°

so x° + x° + x° = 180°

or 3x° = 180°

or x = 60°

and the sum of all angles of a quadrilateral = 360

therefore 4y° = 360°

or y° = 90°

QTY A = x° + y° = 60° + 90° = 150°

QTY A > QTY B
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Re: x+y or 120   [#permalink] 29 Jul 2018, 18:35
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