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# In rhombus ABCD, what is angle BCD?

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Math Expert
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In rhombus ABCD, what is angle BCD?  [#permalink]

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17 Jan 2016, 12:24
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Difficulty:

55% (hard)

Question Stats:

57% (00:40) correct 43% (00:56) wrong based on 115 sessions

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In rhombus ABCD, what is angle BCD?

(1) BC = BD
(2) Angle BDA = 60°

Attachment:

2016-01-17_2322.png [ 4.17 KiB | Viewed 1526 times ]

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In rhombus ABCD, what is angle BCD?  [#permalink]

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Updated on: 18 Jan 2016, 10:52
2
Bunuel wrote:

In rhombus ABCD, what is angle BCD?

(1) BC = BD
(2) Angle BDA = 60°

Attachment:
2016-01-17_2322.png

Editing my post

IMO D. (I read Geometry rules and now understood Rhombus has equal sides)

With Statement 1: BC = BD hence it gives BC=BD=AD. Since all sides equal hence 60 deg. Therefore Sufficient

With Statement 2: angle BDA = 60 therefore angle DBC is also 60. Again since we got one angle and we know by rhombus property that BC = CD therefore all angles equal. Therefore Sufficient

Originally posted by rachitbechem on 17 Jan 2016, 23:58.
Last edited by rachitbechem on 18 Jan 2016, 10:52, edited 1 time in total.
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Re: In rhombus ABCD, what is angle BCD?  [#permalink]

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18 Jan 2016, 01:26
rachitbechem wrote:
Bunuel wrote:

In rhombus ABCD, what is angle BCD?

(1) BC = BD
(2) Angle BDA = 60°

Attachment:
2016-01-17_2322.png

With Statement 1: BC = BD hence it gives BC=BD=AD. But no other info provided for eg angle BCD could be 45 or it could be 30 we have no info. Not Sufficient

With Statement 2: angle BDA = 60 therefore angle DBC is also 60. We cannot infer what angle C is in angle BCD. Not sufficient

Hi,
boththe statements are suff alone..

With Statement 1: BC = BD hence it gives BC=BD=AD. all angles are 60 .. suff

With Statement 2: angle BDA = 60 , the diagonal bisects the angle so BCD= 60.. suff
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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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In rhombus ABCD, what is angle BCD?  [#permalink]

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18 Sep 2016, 11:23
Bunuel wrote:

In rhombus ABCD, what is angle BCD?

(1) BC = BD
(2) Angle BDA = 60°

Attachment:
2016-01-17_2322.png

A rhombus has all sides equal..
1) if BC=BD then BCD is equilateral triangle and all angles are 60°
thus BCD=60°.....suff...
2) if Angle BDA = 60° then angle ABD is also 60° (As AD=AB)
thus making ABD equilateral triangle
As both triangles ABD & BCD of rhombus are SSS congruent then BCD=60°...suff

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Re: In rhombus ABCD, what is angle BCD?  [#permalink]

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05 Oct 2017, 20:25
D it is. Rhombus has equal sides. If the diagonal is equal to a side or if the angle at the diagonal is 60 then every angle in the triangles need to be 60
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Re: In rhombus ABCD, what is angle BCD? &nbs [#permalink] 05 Oct 2017, 20:25
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