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27 Jun 2006, 07:12
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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how does stem 1 give the answer ?? can anyone please explain ?
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27 Jun 2006, 09:24
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I also say B.
BAO=20
since oB=OC
ANGLE CBO=40
therefore, ABO=140
AB=BO, therefore BAO=20
BAO=20
since oB=OC
ANGLE CBO=40
therefore, ABO=140
AB=BO, therefore BAO=20
27 Jun 2006, 11:20
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The correct answer is (D): each statement alone is sufficient
shahnandan correctly explained how to get to the value of BAO from the second statement. Here is how it can be deducted from the first statement:
Let's denote the unknown angle BAO as X. Then since AB=OC=OB, the angle AOB should also be X.
Next, from triangle ABO, angle ABO=180-(X+X)=180-2X
Therefore, angle OBC = 180 - angle ABO = 2X
But since OB=OC, angle BCO=2X
Now, we can have 2 equations for anle BOC:
First, from triangle BOC, angle BOC=180-(2X+2X)=180-4X
On the other hand, since angle AOD=180 and angle COD=60 (given),
angle BOC = 180 - (X+60)
So, 180 - 4X = 180- (X+60)
or, 3X=60
or, X=20
shahnandan correctly explained how to get to the value of BAO from the second statement. Here is how it can be deducted from the first statement:
Let's denote the unknown angle BAO as X. Then since AB=OC=OB, the angle AOB should also be X.
Next, from triangle ABO, angle ABO=180-(X+X)=180-2X
Therefore, angle OBC = 180 - angle ABO = 2X
But since OB=OC, angle BCO=2X
Now, we can have 2 equations for anle BOC:
First, from triangle BOC, angle BOC=180-(2X+2X)=180-4X
On the other hand, since angle AOD=180 and angle COD=60 (given),
angle BOC = 180 - (X+60)
So, 180 - 4X = 180- (X+60)
or, 3X=60
or, X=20
