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

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Manager
Joined: 05 Jan 2009
Posts: 78
ABCD is a quadrilateral. What are the values of angles A, B [#permalink]

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27 May 2009, 18:43
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This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Please discuss the following DS question.

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

b) ABCD is inscribed in a circle
Manager
Joined: 28 Jan 2004
Posts: 201
Location: India

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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.
Manager
Joined: 16 Apr 2009
Posts: 230
Schools: Ross

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28 May 2009, 09:16
1
KUDOS
Quote:
ABCD is a quadrilateral. What are the values of angles A, B, C & D?

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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Manager
Joined: 05 Jan 2009
Posts: 78

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28 May 2009, 10:07
Thanks. OA is C. +1 for you.
Manager
Joined: 08 Apr 2009
Posts: 101

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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
Manager
Joined: 05 Jan 2009
Posts: 78

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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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