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ABCD is a quadrilateral. What are the values of angles A, B

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Manager
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ABCD is a quadrilateral. What are the values of angles A, B [#permalink]

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New post 27 May 2009, 18:43
00:00
A
B
C
D
E

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Please discuss the following DS question.

ABCD is a quadrilateral. What are the values of angles A, B, C & D?

a) AB||CD; BC||AD
b) ABCD is inscribed in a circle
Manager
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Posts: 201
Location: India
Re: DS: geometry problem [#permalink]

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New post 27 May 2009, 20:48
90.
With the given conditions, the only quadrilateral which can be inscribed in a circle is a rectangle or square.
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Re: DS: geometry problem [#permalink]

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New post 28 May 2009, 09:16
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Quote:
ABCD is a quadrilateral. What are the values of angles A, B, C & D?

a) AB||CD; BC||AD
b) ABCD is inscribed in a circle


If a parallelogram is inscribed in a circle,it must be a rectangle.
Hence C.
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Re: DS: geometry problem [#permalink]

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New post 28 May 2009, 10:07
Thanks. OA is C. +1 for you.
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Re: DS: geometry problem [#permalink]

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New post 28 May 2009, 10:10
IMO E....
A Parallelogram with equal sides can also have inscribed Circle. In this case the Angles are unknown even using both the conditions..
In a particular case of square we can conclude that the angles are 90 deg
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Re: DS: geometry problem [#permalink]

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New post 29 May 2009, 09:51
Angle A+ Angle C=Angle B + Angle D=180.
Angle A=Angle C=90
Angle B=Angle D=90
Re: DS: geometry problem   [#permalink] 29 May 2009, 09:51
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ABCD is a quadrilateral. What are the values of angles A, B

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