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Source: — Data Sufficiency |

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by Anurag@Gurome » Thu May 31, 2012 7:26 pm
Ashujain wrote:Please help...I am not able to understand the OE

The question is: What is the length of side BC?
Angle BAD = x degrees (missing from the diagram above)

Angle BDC = Angle BCD implies BD = BC.
Also, angle ADB = 180 - 2x
Sum of the angles in a triangle = 180 degrees, so in triangle ADB, x + (180 - 2x) + angle ABD = 180 Hence, angle ABD = x.
So, angle ABD = x = angle DAB
Therefore, AD = BD implies AD = BD = BC.

We have to find the length of BC.

(1) Line segment AD has length 6 implies AD = BD = BC = 6; SUFFICIENT.

(2) x = 36 only gives us the values of the angles; NOT sufficient.

The correct answer is A.
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by Ashujain » Thu May 31, 2012 10:13 pm
Anurag@Gurome wrote: Angle BAD = x degrees (missing from the diagram above)
Ok...thats what i was confused with...OE have considered this but it was not given in the question itself.

Thanks Anurag!
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