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In the, figure A, B and C are points on the circle. What is
[#permalink]
19 Mar 2019, 09:36
19 Mar 2019, 09:36
1
Expert Reply
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Question Stats:
81% (01:23) correct
18% (01:37) wrong based on 16 sessions
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Attachment:
#GREpractciequestion In the, figure A, B and C.jpg [ 30.67 KiB | Viewed 4922 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
Re: In the, figure A, B and C are points on the circle. What is
[#permalink]
Updated on: 13 Apr 2019, 05:41
Updated on: 13 Apr 2019, 05:41
1
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
Answer: B
[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
Answer: B
Attachments
File comment: 1st Attachment
1.png [ 29.68 KiB | Viewed 4704 times ]
Originally posted by sanzidikawsar on 12 Apr 2019, 23:19.
Last edited by sanzidikawsar on 13 Apr 2019, 05:41, edited 2 times in total.
Last edited by sanzidikawsar on 13 Apr 2019, 05:41, edited 2 times in total.
Re: In the, figure A, B and C are points on the circle. What is
[#permalink]
13 Apr 2019, 02:46
13 Apr 2019, 02:46
1
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?
