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# In the, figure A, B and C are points on the circle. What is

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In the, figure A, B and C are points on the circle. What is [#permalink]  19 Mar 2019, 09:36
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#GREpractciequestion In the, figure A, B and C.jpg [ 30.67 KiB | Viewed 937 times ]

In the, figure A, B and C are points on the circle. What is the value of x ?

(A) 45

(B) 55

(C) 60

(D) 65

(E) 70
[Reveal] Spoiler: OA

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Re: In the, figure A, B and C are points on the circle. What is [#permalink]  12 Apr 2019, 23:19
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As AO, BO and OC are the radiuses of the same circle, △AOB and △BOC both are isosceles. So,

[1st Attachment]
∠OAB=∠ABO=(180-75)/2=52.5 and
∠OCB=∠OBC=(180-35)/2=72.5

Now, ∠x+∠ABO+∠OBC=180 [Because of being a straight line]
So, ∠x=180-(∠ABO+∠OBC)
=180-(52.5+72.5)
=180-125
=55

So, finally: ∠x=55
Attachments

File comment: 1st Attachment

1.png [ 29.68 KiB | Viewed 730 times ]

Last edited by sanzidikawsar on 13 Apr 2019, 05:41, edited 2 times in total.
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Re: In the, figure A, B and C are points on the circle. What is [#permalink]  13 Apr 2019, 02:46
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sanzidikawsar wrote:
As AO, BO and OC are the radiuses of the same circle, △AOB and △BOC both are isosceles. So,

But is it mentioned that O is the centre of the circle?
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Re: In the, figure A, B and C are points on the circle. What is [#permalink]  13 Apr 2019, 05:48
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pranab01 wrote:
sanzidikawsar wrote:
As AO, BO and OC are the radiuses of the same circle, △AOB and △BOC both are isosceles. So,

But is it mentioned that O is the centre of the circle?

Didn't mention. But I found no way to get the answer. Please share if you think something different..
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Re: In the, figure A, B and C are points on the circle. What is [#permalink]  13 Apr 2019, 07:04
sanzidikawsar wrote:
pranab01 wrote:
sanzidikawsar wrote:
As AO, BO and OC are the radiuses of the same circle, △AOB and △BOC both are isosceles. So,

But is it mentioned that O is the centre of the circle?

Didn't mention. But I found no way to get the answer. Please share if you think something different..

I guess not
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Re: In the, figure A, B and C are points on the circle. What is   [#permalink] 13 Apr 2019, 07:04
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