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Updated on: 30 Oct 2019, 09:47
Originally posted by MathRevolution on 24 Oct 2019, 01:13.
Last edited by MathRevolution on 30 Oct 2019, 09:47, edited 1 time in total.
Last edited by MathRevolution on 30 Oct 2019, 09:47, edited 1 time in total.
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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:
35%
(medium)
Question Stats:
69% (01:49) correct
31%
(01:49)
wrong
based on 84
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[GMAT math practice question]
The figure shows a circle with the center \(O\). The arc length \(AB\) and arc length \(AC\) are the same, and \(∠BOC = 100^o\). What is \(∠OCA\)?
10.24PS.png [ 11.72 KiB | Viewed 2130 times ]
\(A. 15^o\)
\(B. 20^o\)
\(C. 25^o\)
\(D. 30^o\)
\(E. 35^o\)
The figure shows a circle with the center \(O\). The arc length \(AB\) and arc length \(AC\) are the same, and \(∠BOC = 100^o\). What is \(∠OCA\)?
Attachment:
10.24PS.png [ 11.72 KiB | Viewed 2130 times ]
\(A. 15^o\)
\(B. 20^o\)
\(C. 25^o\)
\(D. 30^o\)
\(E. 35^o\)
24 Oct 2019, 01:51
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equal arcs subtend equal angles at the center
Hence, angle AOB= angle AOC= (360-100)/2=130
AO=OC (Both are radius)
Hence, angle OAC= angle OCA= (180-130)/2=25
Hence, angle AOB= angle AOC= (360-100)/2=130
AO=OC (Both are radius)
Hence, angle OAC= angle OCA= (180-130)/2=25
MathRevolution
[GMAT math practice question]
The figure shows that the arc length \(AB\) and arc length \(AC\) are the same, and \(∠BOC = 100^o\). What is \(∠OCA\)?
\(A. 15^o\)
\(B. 20^o\)
\(C. 25^o\)
\(D. 30^o\)
\(E. 35^o\)
The figure shows that the arc length \(AB\) and arc length \(AC\) are the same, and \(∠BOC = 100^o\). What is \(∠OCA\)?
Attachment:
The attachment 10.24PS.png is no longer available
\(A. 15^o\)
\(B. 20^o\)
\(C. 25^o\)
\(D. 30^o\)
\(E. 35^o\)
Attachments
Untitled.png [ 7.62 KiB | Viewed 2051 times ]
