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03 Sep 2018, 02:14
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
83% (00:46) correct
17%
(01:18)
wrong
based on 18
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, how many degrees is ∠ABE?
(1) ∠EDC = 30°
(2) AB ∥CD
03 Sep 2018, 02:14
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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.
Answer: C
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.
Answer: C
04 Sep 2018, 07:23
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Bunuel
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
