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In the figure, which one of the following angles is the greatest?

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Bunuel
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In the figure, which one of the following angles is the greatest? [#permalink] New post   Updated on: 22 Jul 2019, 05:38
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A
B
C
D
E

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25% (medium)

Question Stats:

68% (00:59) correct 32% (01:18) wrong based on 98 sessions
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In the figure, which one of the following angles is the greatest?


(A) ∠A
(B) ∠B
(C) ∠C
(D) ∠D
(E) ∠CDB

Source: Nova GMAT
Difficulty Level: 550

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figure.jpg
figure.jpg [ 24.96 KiB | Viewed 3566 times ]
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B

Originally posted by Bunuel on 09 Oct 2018, 23:32.
Last edited by Sajjad1994 on 22 Jul 2019, 05:38, edited 1 time in total.
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Re: In the figure, which one of the following angles is the greatest? [#permalink] New post   10 Oct 2018, 02:07
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Bunuel wrote:

In the figure, which one of the following angles is the greatest?


(A) ∠A
(B) ∠B
(C) ∠C
(D) ∠D
(E) ∠CDB


Show Spoiler
Attachment:
figure.jpg



CONCEPT: In any triangle Angle opposite to the biggest side is biggest and side opposite to the smallest side is smallest

Between angle A and angle C, angle A will be greater than angle C as the sides are smaller (3 and 4) than sides 5 and 6

Similarly between angle B and angle D, angle B will be bigger than angle D

Which eliminates Options C and D

Angle A will be smaller than angle ABD i.e. also smaller than angle B as it being the smallest angle of triangle ABD eliminating option A

i.e. Angle B is the biggest

Answer: Option B
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Re: In the figure, which one of the following angles is the greatest? [#permalink] New post   21 Jan 2020, 13:51
In my opinion, the angle facing the longest side is always the greatest angle. In this case angle B is facing 6 which is the longest side. Therefore B is greater.
Answer B.
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Re: In the figure, which one of the following angles is the greatest? [#permalink] New post   23 Jan 2020, 14:08
Adyquin wrote:
In my opinion, the angle facing the longest side is always the greatest angle. In this case angle B is facing 6 which is the longest side. Therefore B is greater.
Answer B.


That logic is generally correct, but you're missing the fact that both B and D point to two side lengths since they are bisected by the diagonal.
B splits 6 and 4, and D splits 5 and 3. So it isn't simply that 6 is the biggest number, but rather the combination of the two angles is greater.
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In the figure, which one of the following angles is the greatest? [#permalink] New post   23 Jan 2020, 21:21
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Bunuel wrote:

In the figure, which one of the following angles is the greatest?


(A) ∠A
(B) ∠B
(C) ∠C
(D) ∠D
(E) ∠CDB

Source: Nova GMAT
Difficulty Level: 550

Show Spoiler
Attachment:
figure.jpg


In a triangle, angle opposite to the largest side is the greatest.

So in triangle ABD, angle B is greater than angle A and angle D. (By angle B here, I mean angle ABD. By angle D here, I mean angle ADB)
In triangle BDC, angle B is greater than angle D and angle C. (Same as above)

Hence the combined angle B will be greater than angle A, combined angle D and angle C.

Answer (B)
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Re: In the figure, which one of the following angles is the greatest? [#permalink] New post   13 Mar 2021, 00:36
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Re: In the figure, which one of the following angles is the greatest? [#permalink]
13 Mar 2021, 00:36
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