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505-555 (Easy)|   Geometry|      
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Bunuel
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If ∠1> ∠2 and ∠2 > ∠3, then 10 Dec 2020, 12:45
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Difficulty:

15% (low)

Question Stats:

80% (01:23) correct 20% (01:33) wrong based on 51 sessions

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If ∠1 > ∠2 and ∠2 > ∠3, then

(A) AB > AD
(B) AC > AD
(C) AC < CD
(D) AD > AC
(E) AB > BC

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Attachment:
2020-12-10_23-56-39.png
2020-12-10_23-56-39.png [ 27.39 KiB | Viewed 1525 times ]
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D
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Kinshook
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If ∠1> ∠2 and ∠2 > ∠3, then 10 Dec 2020, 12:51
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Bunuel

There is no image for the problem. Please provide the same.

Bunuel
If ∠1> ∠2 and ∠2 > ∠3, then

(A) AB > AD
(B) AC > AD
(C) AC < CD
(D) AD > AC
(E) AB > BC
Show more

Posted from my mobile device
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If ∠1> ∠2 and ∠2 > ∠3, then 10 Dec 2020, 12:57
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Kinshook
Bunuel

There is no image for the problem. Please provide the same.

Bunuel
If ∠1> ∠2 and ∠2 > ∠3, then

(A) AB > AD
(B) AC > AD
(C) AC < CD
(D) AD > AC
(E) AB > BC

Posted from my mobile device
Show more

_________________
Fixed. Thank you!
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If ∠1> ∠2 and ∠2 > ∠3, then 10 Dec 2020, 13:04
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Is the image correct? Angle 2 and angle 3 are referring to the same side. Please verify the picture once.

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imeanup
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If ∠1> ∠2 and ∠2 > ∠3, then 11 Dec 2020, 22:45
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Bunuel

If ∠1 > ∠2 and ∠2 > ∠3, then

(A) AB > AD
(B) AC > AD
(C) AC < CD
(D) AD > AC
(E) AB > BC

Show Spoiler
Attachment:
2020-12-10_23-56-39.png
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Ans D

∠1 > ∠2 or (180 - ∠1 > ∠2) i.e. AB > AC (Consider Triangle ABC), and ∠2 > ∠3 i.e. AD > AB (Consider Triangle ABD)
Consider both AD > AC
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If ∠1> ∠2 and ∠2 > ∠3, then 23 Feb 2021, 00:27
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Biswadeep20
Is the image correct? Angle 2 and angle 3 are referring to the same side. Please verify the picture once.

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Agree with this here...AD > AC for ∠1 > ∠2, but then we get AC > AC for ∠2 > ∠3? That doesn't seem right...
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If ∠1> ∠2 and ∠2 > ∠3, then 23 Feb 2021, 01:05
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CEdward
Biswadeep20

If ∠1 > ∠2 and ∠2 > ∠3, then

(A) AB > AD
(B) AC > AD
(C) AC < CD
(D) AD > AC
(E) AB > BC

Is the image correct? Angle 2 and angle 3 are referring to the same side. Please verify the picture once.

Posted from my mobile device

Agree with this here...AD > AC for ∠1 > ∠2, but then we get AC > AC for ∠2 > ∠3]? That doesn't seem right...
Show more

∠1 > ∠2 means AB > AC.
∠2 > ∠3 means AD > AB.

So, AD > AB > AC.
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