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In quadrilateral ABCD, is angle D ≤ 100 degrees?

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Magoosh GMAT Instructor
Joined: 28 Dec 2011
Posts: 4471

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23 May 2016, 15:49
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Difficulty:

95% (hard)

Question Stats:

45% (02:07) correct 55% (01:40) wrong based on 140 sessions

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quadrilateral ABCD.png [ 2.19 KiB | Viewed 2213 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

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Mike McGarry
Magoosh Test Prep

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10 Aug 2017, 11:01
4
gauravraos wrote:

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 [ 40.41 KiB | Viewed 1360 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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Education is not the filling of a pail, but the lighting of a fire. — William Butler Yeats (1865 – 1939)
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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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10 Aug 2017, 08:39

how can a angle in a quadilateral be 330 according to the above explanation.Bunuel
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08 Aug 2019, 19:52
Hello from the GMAT Club BumpBot!

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Re: In quadrilateral ABCD, is angle D ≤ 100 degrees?   [#permalink] 08 Aug 2019, 19:52
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