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triangle angles x,y,z

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Source: — Data Sufficiency |
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by gmat25 » Wed Jul 20, 2011 12:25 pm
IMO C
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by GAMATO » Wed Jul 20, 2011 12:31 pm
From the diagram: x = (180 - y) + (180 - z)
So, x = 360 - y - z
(1) y = x
x = 360 - x - z
2x = 360 - z
Not Sufficient

(2) z = x
x = 360 - y - x
2x = 360 - y
Not Sufficient

Combining (1) and (2)
x = y = z
x = 360 - x - x
3x = 360
x = 120

So, Answer is C
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by amit2k9 » Thu Jul 21, 2011 3:20 am
interior angles of the triangle are 180-x,180-y and 180-z.

thus 360-(x+y+z)= 180 (sum of all the angles in the triangle)

thus x+y+z = 180.

now a and b are individually not sufficient.

a+b gives 3x=180 giving x=60.
C it is.
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