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M70-04

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Math Expert
Joined: 02 Sep 2009
Posts: 53063

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03 Sep 2018, 01:14
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Question Stats:

80% (00:18) correct 20% (00:34) wrong based on 5 sessions

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In the figure above, how many degrees is ∠ABE?

(1) ∠EDC = 30°

(2) AB ∥CD

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Math Expert
Joined: 02 Sep 2009
Posts: 53063

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03 Sep 2018, 01:14
Official Solution:

We’ll go for LOGICAL since logic is the first option in Data Sufficiency.

(1) We know the size of ∠EDC… But what does that tell us about ∠ABE? More information is necessary! (A) and (D) are eliminated.

(2) Knowing that AB and CD are parallel doesn’t help us determine the value of ∠ABE without any information about the angles. (B) is eliminated.

When combining (1) and (2) we can see that ∠ABE = ∠EDC, as both are obtuse (‘large’) angles between parallel lines. So if ∠EDC = 30, we can tell the value of ∠ABE. (E) is eliminated!

Remember, what appears obtuse in data sufficiency figures, may not actually be obtuse. The figures are not drawn to scale.

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04 Sep 2018, 06:23
1
Bunuel wrote:
Official Solution:

We’ll go for LOGICAL since logic is the first option in Data Sufficiency.

(1) We know the size of ∠ECD… But what does that tell us about ∠ABE? More information is necessary! (A) and (D) are eliminated.

(2) Knowing that AB and CD are parallel doesn’t help us determine the value of ∠ECD without any information about the angles. (B) is eliminated.

When combining (1) and (2) we can see that ∠ABE = ∠EDC, as both are obtuse (‘large’) angles between parallel lines. So if ∠EDC = 30, we can tell the value of ∠ABE. (E) is eliminated!

Remember, what appears obtuse in data sufficiency figures, may not actually be obtuse. The figures are not drawn to scale.

Hi Bunuel

We're given ∠ECD = 30 in statement 1 not ∠EDC so I think the answer should be E or statement 1 should be updated to say ∠EDC
Math Expert
Joined: 02 Sep 2009
Posts: 53063

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04 Sep 2018, 06:54
rajudantuluri wrote:
Bunuel wrote:
Official Solution:

We’ll go for LOGICAL since logic is the first option in Data Sufficiency.

(1) We know the size of ∠ECD… But what does that tell us about ∠ABE? More information is necessary! (A) and (D) are eliminated.

(2) Knowing that AB and CD are parallel doesn’t help us determine the value of ∠ECD without any information about the angles. (B) is eliminated.

When combining (1) and (2) we can see that ∠ABE = ∠EDC, as both are obtuse (‘large’) angles between parallel lines. So if ∠EDC = 30, we can tell the value of ∠ABE. (E) is eliminated!

Remember, what appears obtuse in data sufficiency figures, may not actually be obtuse. The figures are not drawn to scale.

Hi Bunuel

We're given ∠ECD = 30 in statement 1 not ∠EDC so I think the answer should be E or statement 1 should be updated to say ∠EDC

Edited the typo. Thank you for noticing.
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Re: M70-04   [#permalink] 04 Sep 2018, 06:54
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