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Is angle BAO 20 degrees

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Source: — Data Sufficiency |
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by aninditasivaram2406 » Wed Nov 14, 2007 10:31 am
The measure of angle BAO is 20 degrees. Let me know if you want the explanation for the problem.
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by aninditasivaram2406 » Wed Nov 14, 2007 10:32 am
Further, the correct answer to the problem is D. Can you please confirm?
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by wongee » Wed Nov 14, 2007 11:12 am
For Statement I:
Let BOA and BAO= x and OCB and BCo =y

Also, If COD is 60, then AOC is 120 which can also be broken down to [x + (120-x)]

Now in tri AOB, 180-2x=180-y
In tri COB, (120-x) + 2y = 180

Now, solve these two qtns, you get,
2y-x = 60 and
y-2x = 0

And if you solve further, x = 20

I didnt solve it for Statement II, but perhaps you can use a similar approach?

Please correct me if I am wrong!
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by lawalx » Tue Nov 27, 2007 12:08 am
u r right wongee

its even easier solvn for statement 2

since BCO is 40 and OC = OB - radii, then CBO= 40, ABO = 180 - 40 = 140 and BAO = 180 - 140 = 40/2 = 20

op im rite?
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