It is currently 21 Oct 2017, 18:06

### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# circle

Author Message
Senior Manager
Joined: 26 May 2009
Posts: 305

Kudos [?]: 62 [0], given: 13

### Show Tags

06 Jul 2009, 02:24
00:00

Difficulty:

(N/A)

Question Stats:

100% (00:16) correct 0% (00:00) wrong based on 0 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

10. If A is the center of the circle shown above and AB=BC=CD, what is the value of x?

(A) 15
(B) 30
(C) 45
(D) 60
(E) 75
Figure attached...I am not sure of the answer. So wanted to check?
Attachments

circle.gif [ 3.99 KiB | Viewed 1498 times ]

Kudos [?]: 62 [0], given: 13

Senior Manager
Joined: 26 May 2009
Posts: 305

Kudos [?]: 62 [0], given: 13

### Show Tags

06 Jul 2009, 02:25

Kudos [?]: 62 [0], given: 13

Intern
Joined: 03 Jul 2009
Posts: 7

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

### Show Tags

06 Jul 2009, 03:09
Ans is 30.
Right?
Plz confirm.

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

Director
Joined: 03 Jun 2009
Posts: 782

Kudos [?]: 902 [0], given: 56

Location: New Delhi
WE 1: 5.5 yrs in IT

### Show Tags

06 Jul 2009, 03:19

Let BD intersects AC at X.
Triangles, BCX and ABX are congruent,
as, AB=BC.
angle AXB = angle BXC = 90 degree (as BC = CD)
and BX is common side for both triangles.

this implies, angle ABX = CBX ..... (i)

Triangle ABC is equilateral triangle (as AB=BC=AC)
This implies angle ABC = 60 degree .... (ii)

From (i) and (ii), we can say that angle ABX = CBX = 30
_________________

Kudos [?]: 902 [0], given: 56

Re: circle   [#permalink] 06 Jul 2009, 03:19
Display posts from previous: Sort by