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Is triangle ABC a right triangle? 1. Angle ABC = angle BCA

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Is triangle ABC a right triangle? 1. Angle ABC = angle BCA [#permalink] New post 28 Aug 2008, 19:23
Is triangle ABC a right triangle?

1. Angle ABC = angle BCA
2. Angle ABC = angle CAB + 30 degrees
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Re: triangles... [#permalink] New post 28 Aug 2008, 19:45
arjtryarjtry wrote:
Is triangle ABC a right triangle?

1. Angle ABC = angle BCA
2. Angle ABC = angle CAB + 30 degrees


say x,y,z are angles.
1) Angle ABC = angle BCA
x=y
insufficient.
2) Angle ABC = angle CAB + 30 degrees[/
x= z+30

insuffcient

combine
x+y+z=180
3x=210
x=70 y=70 z=40

suffcient

C.
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Re: triangles... [#permalink] New post 28 Aug 2008, 19:45
arjtryarjtry wrote:
Is triangle ABC a right triangle?

1. Angle ABC = angle BCA
2. Angle ABC = angle CAB + 30 degrees


C.

st leaves too many possibilities. 60,60,60 50,50,80 30,30,120.....

st 2 also leaves too many possibilities 80,50,50 70,70,40.......

combine . let abc = bca =x. and let cab=y
from 2) y=x-30.

x+x+x-30 =180
solving x=70, y=40. so not a right triaanlg
Re: triangles...   [#permalink] 28 Aug 2008, 19:45
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Is triangle ABC a right triangle? 1. Angle ABC = angle BCA

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