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x or y-90
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21 Feb 2021, 10:23
21 Feb 2021, 10:23
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Question Stats:
86% (00:39) correct
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Attachment:
GRE triangle and angles.jpg [ 8.66 KiB | Viewed 2846 times ]
Quantity A |
Quantity B |
x |
y-90 |
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.
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Re: x or y-90
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21 Feb 2021, 10:30
21 Feb 2021, 10:30
1
Solution:
Consider the exterior angle Y. As it lies on the straight line, the angle adjacent to Y will be 180-Y
Thus, X+180-Y+90=180 (Sum of all angles of a triangle)
X-Y+90=0
X-Y=90
X=90-Y
Hence, Qty A=Qty B
IMO C
Hope this helps!
Consider the exterior angle Y. As it lies on the straight line, the angle adjacent to Y will be 180-Y
Thus, X+180-Y+90=180 (Sum of all angles of a triangle)
X-Y+90=0
X-Y=90
X=90-Y
Hence, Qty A=Qty B
IMO C
Hope this helps!
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Re: x or y-90
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21 Feb 2021, 11:58
21 Feb 2021, 11:58
1
Carcass wrote:
Attachment:
GRE triangle and angles.jpg
Quantity A |
Quantity B |
x |
y-90 |
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.
Property: Exterior angle in a triangle is equal to the sum of opposite interior angles
\(y = x + 90\)
Col. A: \(x\)
Col. B: \(y - 90 = (x + 90) - 90 = x\)
Col. A = Col. B
Hence, option C
