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In the triangle above which is greater x or y

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In the triangle above which is greater x or y [#permalink] New post   19 Jun 2022, 23:46
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Quantity A
Quantity B
x
y



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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A
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Re: In the triangle above which is greater x or y [#permalink] New post   23 Jul 2022, 01:26
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In the triangle above which is greater x or y [#permalink] New post   23 Jul 2022, 14:10
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Carcass wrote:
Attachment:
GRE x or y.jpg


Quantity A
Quantity B
x
y



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



If AC = BC and BC is parallel to DE, it implies that ADE = x. (just using properties). Having said that, it is perfectly possible to set up the following equation:

\(2*x + y = 180\)

Doing some math, the last expression yields y = 50. Therefore, X=65 > Y= 50. Quantity A is greater than Quantity B.
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Re: In the triangle above which is greater x or y [#permalink] New post   25 Jul 2022, 21:53
cote wrote:
Carcass wrote:
Attachment:
GRE x or y.jpg


Quantity A
Quantity B
x
y



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



If AC = BC and BC is parallel to DE, it implies that ADE = x. (just using properties). Having said that, it is perfectly possible to set up the following equation:

\(2*x + y = 180\)

Doing some math, the last expression yields y = 50. Therefore, X=65 > Y= 50. Quantity A is greater than Quantity B.


Could please state the properties used
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In the triangle above which is greater x or y [#permalink] New post   26 Jul 2022, 00:06
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This is the property

X=65*2=130

y=50

Pretty easy

A is > B
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Re: In the triangle above which is greater x or y [#permalink] New post   26 Jul 2022, 00:07
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I suggest you to see our gre geometry formuls https://gre.myprepclub.com/forum/gre-geome ... 25049.html


Also angles and parallels

https://gre.myprepclub.com/forum/gre-geome ... tml#p82033
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