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13 Sep 2018, 02:34
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
45%
(medium)
Question Stats:
65% (01:41) correct
35%
(01:52)
wrong
based on 71
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In the circle above with center O, what is the measure of angle AOB?
(1) The length of the arc AB is π.
(2) The measure of angle ABO is equal to the measure of angle OBC.
Attachment:
image011.gif [ 2.16 KiB | Viewed 6807 times ]
Updated on: 15 Sep 2018, 00:35
Originally posted by GMATinsight on 13 Sep 2018, 03:05.
Last edited by GMATinsight on 15 Sep 2018, 00:35, edited 2 times in total.
Last edited by GMATinsight on 15 Sep 2018, 00:35, edited 2 times in total.
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Bunuel
In the circle above with center O, what is the measure of angle AOB?
(1) The length of the arc AB is π.
(2) The measure of angle ABO is equal to the measure of angle OBC.
Attachment:
image011.gif
Question: what is the measure of angle AOB?
Statement 1: The length of the arc AB is π.
i.e. (Angle AOB/360)*2*π*r = π
But neither do we have angle nor the radius hence nothing can be concluded about the angle ABO hence
NOT SUFFICIENT
Statement 2: he measure of angle ABO is equal to the measure of angle OBC.
While Sum of Angles ABO and OBC = 90º (Property: Any angle on circumference in a semicircle is 90º )
If both angles are equal then each angle must be = 45º
i.e. ABC is an isosceles right angle triangle and OB is perpendicular on AC
i.e. angle AOB = 90º
SUFFICIENT
Answer: option B
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14 Sep 2018, 10:10
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1. Is AOB not a straight line. I think it is the diameter even if it has not been explicitly stated. Consequently, ABC is 90. Am i wrong ?
2. In your explanation how come ABO and OBC sum to be 180 ??
3. Cant we assume that since angle ABC is 90 , the radius OB must bisect ABC. If not, why so. Both the traigles are similar
Please guide
2. In your explanation how come ABO and OBC sum to be 180 ??
3. Cant we assume that since angle ABC is 90 , the radius OB must bisect ABC. If not, why so. Both the traigles are similar
Please guide
