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Inscribed circle DS

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Inscribed circle DS

by tonebeeze » Sun May 08, 2011 10:41 am
I had a difficult time mapping and visualizing this problem.

If quadrilateral ABCD is inscribed into a circle, what is the value of angle BAD?

1. AC = CD
2. ADC = 70


OA = E
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by sourabh33 » Sun May 08, 2011 5:55 pm
IMO E


Statement 1 - Insufficient
AC = CD

Image
In the attached image we can see that even if AC = CD angle BAD can have more than one solution


Statement 2 - Insufficient
ADC = 70

Image
In the attached image we can see that even if ADC is constant or 70, angle BAD can have more than one solution

Taking 1 & 2 together, BAD can still have multiple values
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by abhi0697 » Sun May 08, 2011 6:17 pm
By initial analysis, we know that both (1) and (2) are alone Insufficient to solve for the value of <BAD. As you can see from the below figure:
Image

Now we combine both (1) and (2), and see that now also, we cannot get the value of angle BAD.

Image
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