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In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =

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V
Joined: 02 Sep 2009
Posts: 50609
In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =  [#permalink]

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New post 12 Nov 2017, 09:21
3
2
00:00
A
B
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D
E

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(N/A)

Question Stats:

57% (02:29) correct 43% (02:37) wrong based on 27 sessions

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Image
In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =

(A) 70
(B) 60
(C) 50
(D) 40
(E) 30

Attachment:
2017-11-12_2103.png
2017-11-12_2103.png [ 15.14 KiB | Viewed 1013 times ]

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Re: In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =  [#permalink]

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New post 13 Nov 2017, 05:42
Bunuel wrote:
Image
In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =

(A) 70
(B) 60
(C) 50
(D) 40
(E) 30

Attachment:
The attachment 2017-11-12_2103.png is no longer available


No replies, so let me give it a try with a att figure

as C
Attachments

quad1.png
quad1.png [ 13.58 KiB | Viewed 663 times ]


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1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html


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Re: In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =  [#permalink]

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New post 13 Nov 2017, 06:41
Bunuel wrote:
Image
In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =

(A) 70
(B) 60
(C) 50
(D) 40
(E) 30

Attachment:
2017-11-12_2103.png


(1) Find angle ABC: if BD = BC, then BDC = BCD = 70 and DBC = 180 - 70(2) = 40. So, ABC = 40*2 = 80.
(2) Find angle ACD: if DA = DC, then ADC = 140 and ACD = (180 - 140) / 2 = 20.
(3) Find x: Triangle BCD or BAD = 180 = 70 + 40 + (x + 20), x = 50.
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Joined: 09 Jun 2016
Posts: 15
Re: In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =  [#permalink]

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New post 13 Nov 2017, 09:35
Bunuel wrote:
Image
In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =

(A) 70
(B) 60
(C) 50
(D) 40
(E) 30

Attachment:
2017-11-12_2103.png

Hi Bunnel... as per quadrilateral rule the opposite angles need to be 180 degree but looking at the question and solving based on AAA concept the opposite angles of quadrilateral are going beyond 180 degree.. kindly help with your solution

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Re: In the quadrilateral above, if AB = BD = BC, and AD = CD, then x = &nbs [#permalink] 13 Nov 2017, 09:35
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In the quadrilateral above, if AB = BD = BC, and AD = CD, then x =

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