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# x > y

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Joined: 18 Apr 2015
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Kudos [?]: 969 [1] , given: 4474

x > y [#permalink]  25 May 2018, 16:12
1
KUDOS
Expert's post
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Question Stats:

80% (00:38) correct 20% (00:45) wrong based on 10 sessions
Attachment:

triangle.jpg [ 7.13 KiB | Viewed 209 times ]

$$x > y$$

 Quantity A Quantity B z 60

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.
[Reveal] Spoiler: OA

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Joined: 07 Jan 2018
Posts: 534
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Kudos [?]: 460 [1] , given: 82

Re: x > y [#permalink]  05 Jun 2018, 23:16
1
KUDOS
Given,
x>y hence angle opposite x will be greater than angle opposite y. This is always true for any triangle
Let the angle opposite y be a. then
since this is a isoscles triangle the three angles would be x,x,a

There is another triangle rule that angles in triangle add to 180 degrees.

A possible scenario for the three triangles above would be 70,70,40.
Let us see if we can have z less than 60 degrees.
If z was lets say 59 degree then 2z would be 118 degrees that leaves the third angle opposite to y (a) = 62 degrees
However angle a cannot be more than z.
Notice that z cannot be 60 degree as that would make this triangle an equilateral triangle however a should be less than z.
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes

Re: x > y   [#permalink] 05 Jun 2018, 23:16
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