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What is the measure of angle ACB in the circle above where line AC pas

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What is the measure of angle ACB in the circle above where line AC pas  [#permalink]

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14 Sep 2018, 01:46
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Difficulty:

65% (hard)

Question Stats:

52% (01:48) correct 48% (02:31) wrong based on 36 sessions

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What is the measure of angle ACB in the circle above where line AC passes through center O?

(1) The measure of angle ABC is 90.
(2) The measure of angle AOB is 110.

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Re: What is the measure of angle ACB in the circle above where line AC pas  [#permalink]

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15 Sep 2018, 00:18
Bunuel wrote:

What is the measure of angle ACB in the circle above where line AC passes through center O?

(1) The measure of angle ABC is 90.
(2) The measure of angle AOB is 110.

Attachment:
image010.gif

Question: What is the measure of angle ACB

line AC passes through center O, i.e. Angle ABC is 90º. Also, Angle AOB is twice the angle ACB as the angle drawn at centre is twice the angle drawn at circumference

Statement 1:The measure of angle ABC is 90.
We already know this hence this statement is completely useless and eliminates possibility of option A D and C to be correct
NOT SUFFICIENT

Statement 2:The measure of angle AOB is 110..
and AOB = 2*ACB
i.e. ACB = 110/2 = 55
SUFFICIENT

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Re: What is the measure of angle ACB in the circle above where line AC pas  [#permalink]

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15 Sep 2018, 08:50
Not able to visualize why statement 1 is not sufficient. Please guide
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Re: What is the measure of angle ACB in the circle above where line AC pas   [#permalink] 15 Sep 2018, 08:50
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