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# In a circle with center O, the measure of arc RS = 132

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Manager
Joined: 23 Oct 2011
Posts: 54
Location: Ukraine
Schools: LBS '14 (M)
GMAT 1: 650 Q44 V35
WE: Corporate Finance (Mutual Funds and Brokerage)
Followers: 2

Kudos [?]: 61 [0], given: 7

In a circle with center O, the measure of arc RS = 132 [#permalink]

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21 Apr 2012, 01:52
00:00

Difficulty:

25% (medium)

Question Stats:

69% (01:58) correct 31% (01:00) wrong based on 145 sessions

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In a circle with center O, the measure of arc RS = 132 degrees. How many degrees are there in angle RSO?

A. 48
B. 24
C. 22
D. 20
E. 66
[Reveal] Spoiler: OA

Last edited by Bunuel on 21 Apr 2012, 02:16, edited 1 time in total.
Edited the question
Math Expert
Joined: 02 Sep 2009
Posts: 37659
Followers: 7411

Kudos [?]: 99824 [4] , given: 11051

Re: Geometry: In a circle with center O, the measure of arc RS [#permalink]

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21 Apr 2012, 02:15
4
KUDOS
Expert's post
JubtaGubar wrote:

1. In a circle with center O, the measure of arc RS = 132 degrees. How many degrees are there in angle RSO?
(A) 48
(B) 24
(C) 22
(D) 20
(E) 66

Look at the diagram below:
Attachment:

Circle.png [ 24.83 KiB | Viewed 4765 times ]

Given: <ROS=132 degrees. Now, since RO=SO=radius then triangle RSO is isosceles, so <SRO=<RS0=(180-132)/2=24.

_________________
Manager
Joined: 23 Oct 2011
Posts: 54
Location: Ukraine
Schools: LBS '14 (M)
GMAT 1: 650 Q44 V35
WE: Corporate Finance (Mutual Funds and Brokerage)
Followers: 2

Kudos [?]: 61 [0], given: 7

Re: Geometry: In a circle with center O, the measure of arc RS [#permalink]

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21 Apr 2012, 10:20
Bunuel wrote:

Look at the diagram below:
Attachment:
Circle.png

Given: <ROS=132 degrees. Now, since RO=SO=radius then triangle RSO is isosceles, so <SRO=<RS0=(180-132)/2=24.

Thank you Bunuel!
Shame on me! I just confused the angles... this question is too easy.
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Kudos [?]: 174 [0], given: 0

Re: In a circle with center O, the measure of arc RS = 132 [#permalink]

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20 Nov 2013, 22:07
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Re: In a circle with center O, the measure of arc RS = 132   [#permalink] 20 Nov 2013, 22:07
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