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# ABCD is a quadrilateral. Is the sum of angles ABC and CDA is

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SVP
Joined: 21 Jul 2006
Posts: 1551
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Kudos [?]: 305 [0], given: 1

ABCD is a quadrilateral. Is the sum of angles ABC and CDA is [#permalink]  24 Mar 2008, 08:13
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ABCD is a quadrilateral. Is the sum of angles ABC and CDA is equal to the sum of angles BCD and DAB?

(1) Circle O is inscribed in ABCD.

(2) Circle O is circumscribed about ABCD.

cheers
CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 407

Kudos [?]: 2143 [1] , given: 359

1
KUDOS
Expert's post
B

For a square the sum of angles ABC and CDA is equal to the sum of angles BCD and DAB under both conditions.

1. we can construct a rhombus (see a drawing) in which the sums will not be equal. insufficient
2. for any quadrilateral inscribed in a circle, the sums will always be equal (see the drawing). sufficient
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SVP
Joined: 21 Jul 2006
Posts: 1551
Followers: 8

Kudos [?]: 305 [0], given: 1

dude, you're just insane! hehe...the OA is B. Is there any quant problem that you just can't answer?? there has to be one...lol...thanks anyway...
CEO
Joined: 21 Jan 2007
Posts: 2764
Location: New York City
Followers: 9

Kudos [?]: 349 [0], given: 4

what is the difference between inscribed and circumscribed?
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You tried your best and you failed miserably. The lesson is 'never try'. -Homer Simpson

CEO
Joined: 17 Nov 2007
Posts: 3578
Concentration: Entrepreneurship, Other
Schools: Chicago (Booth) - Class of 2011
GMAT 1: 750 Q50 V40
Followers: 407

Kudos [?]: 2143 [0], given: 359

Expert's post
bmwhype2 wrote:
what is the difference between inscribed and circumscribed?

http://en.wikipedia.org/wiki/Inscribe
http://en.wikipedia.org/wiki/Circumscribe

BTW. Thanks, I corrected my typo...
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