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Joined: 16 May 2014
Posts: 590
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GRE 1: Q165 V161
GRE Math Challenge #9- triangle with external angle
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30 Sep 2014, 04:38
30 Sep 2014, 04:38
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Question Stats:
74% (00:49) correct
25% (01:20) wrong based on 240 sessions
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Attachment:
#greprepclub 180+a.jpg [ 9.43 KiB | Viewed 7565 times ]
Quantity A |
Quantity B |
180+a |
b+c |
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
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Joined: 10 Apr 2015
Posts: 6218
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Re: GRE Math Challenge #9
[#permalink]
12 Apr 2015, 08:52
12 Apr 2015, 08:52
4
soumya1989 wrote:
Attachment:
geo2.JPG
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
------------------------------------------------------------------
Let x be the angle that's next to angle b and INSIDE the triangle.
So, we know that x + b = 180
Or we can write x = 180 - b
Let y be the angle that's next to angle c and INSIDE the triangle.
So, we know that y + c = 180
Or we can write y = 180 - c
Since angles a, x and y are the 3 angles in the triangle, we can write: a + x + y = 180
Now replace x and y to get: a + (180 - b) + (180 - c) = 180
Simplify to get: a - b - c + 360 = 180
Rearrange to get a + 180 = b + c
AHA, this is EXACTLY what we are comparing.
Answer:
Show: ::
C
Cheers,
Brent
Re: GRE Math Challenge #9- triangle with external angle
[#permalink]
16 Feb 2020, 10:21
16 Feb 2020, 10:21
Expert Reply
Bump for further discussion
