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In quadrilateral ABCD, is angle D ≤ 100 degrees?

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Magoosh GMAT Instructor
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In quadrilateral ABCD, is angle D ≤ 100 degrees? [#permalink]

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Attachment:
quadrilateral ABCD.png
quadrilateral ABCD.png [ 2.19 KiB | Viewed 1078 times ]


In quadrilateral ABCD, is angle D ≤ 100 degrees?

Statement #1: AB = BC

Statement #2: angle A = angle B = angle C


For a collection of 10 DS problems on geometry, including this one, as well as the OE for this particular question, see:
GMAT Data Sufficiency Geometry Practice Question

Mike :-)
[Reveal] Spoiler: OA

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Mike McGarry
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Re: In quadrilateral ABCD, is angle D ≤ 100 degrees? [#permalink]

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New post 16 Sep 2016, 02:35
St :1 AB= BC
no information on any of other two unknown angles , thus insufficient

St : 2 angle A=angle B = angle C

suppose angle A = 10
thus angle D will be - 330
if angle A = 100 then angle D = 60

Insufficient

St1+St2
Still not enough information to get exact values of the angle D
Insufficient.

Ans E

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Re: In quadrilateral ABCD, is angle D ≤ 100 degrees? [#permalink]

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New post 10 Aug 2017, 08:39
HI Bunuel can you please help me solve this question?

how can a angle in a quadilateral be 330 according to the above explanation.Bunuel

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Re: In quadrilateral ABCD, is angle D ≤ 100 degrees? [#permalink]

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New post 10 Aug 2017, 11:01
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gauravraos wrote:
HI Bunuel can you please help me solve this question?

how can a angle in a quadilateral be 330 according to the above explanation.Bunuel

Dear gauravraos,

I'm happy to respond. :-) I hope you don't mind that I am answering rather than the super-genius Bunuel.

A quadrilateral with one 330 degree angle and three 10 degree angles would look like this:
Attachment:
quadrilateral with 330 degree angle.png
quadrilateral with 330 degree angle.png [ 40.41 KiB | Viewed 229 times ]

This kind of quadrilateral is sometimes called a "dart." It's a concave quadrilateral, unlike most of the quadrilaterals you will meet on the GMAT.

Does this make sense?
Mike :-)
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Re: In quadrilateral ABCD, is angle D ≤ 100 degrees?   [#permalink] 10 Aug 2017, 11:01
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