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Updated on: 05 Nov 2019, 19:00
Originally posted by MathRevolution on 05 Nov 2019, 02:02.
Last edited by MathRevolution on 05 Nov 2019, 19:00, edited 1 time in total.
Last edited by MathRevolution on 05 Nov 2019, 19:00, edited 1 time in total.
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
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14%
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[GMAT math practice question]
The figure shows that the lines \(AB\) and \(AC\) are the tangential lines to the circle \(O\). What is \(∠ABC\)?
11.5ps.png [ 11.72 KiB | Viewed 975 times ]
A. \(55^o\)
B. \(60^o\)
C. \(65^o\)
D. \(70^o\)
E. \(75^o\)
The figure shows that the lines \(AB\) and \(AC\) are the tangential lines to the circle \(O\). What is \(∠ABC\)?
Attachment:
11.5ps.png [ 11.72 KiB | Viewed 975 times ]
A. \(55^o\)
B. \(60^o\)
C. \(65^o\)
D. \(70^o\)
E. \(75^o\)
05 Nov 2019, 03:03
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Can anyone explain?
07 Nov 2019, 00:58
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=>
Since \(AB\) and \(AC\) are tangent lines to the circle, we have \(AB = AC.\)
Since the triangle \(ABC\) is isosceles with \(AB = AC,\) we have \(∠ABC = (\frac{1}{2})(180-∠BAC) = 70^o.\)
Therefore, D is the answer.
Answer: D
Since \(AB\) and \(AC\) are tangent lines to the circle, we have \(AB = AC.\)
Since the triangle \(ABC\) is isosceles with \(AB = AC,\) we have \(∠ABC = (\frac{1}{2})(180-∠BAC) = 70^o.\)
Therefore, D is the answer.
Answer: D
