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GRE Math Challenge #9- triangle with external angle

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Director
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GRE Math Challenge #9- triangle with external angle [#permalink] New post 30 Sep 2014, 04:38
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Question Stats:

54% (00:45) correct 45% (01:11) wrong based on 62 sessions
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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
[Reveal] Spoiler: OA

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Re: GRE Math Challenge #9 [#permalink] New post 12 Apr 2015, 08:52
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soumya1989 wrote:
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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:
[Reveal] Spoiler:
C


Cheers,
Brent
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Re: GRE Math Challenge #9- triangle with external angle [#permalink] New post 27 Jan 2018, 20:39
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Re: GRE Math Challenge #9- triangle with external angle   [#permalink] 27 Jan 2018, 20:39
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GRE Math Challenge #9- triangle with external angle

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