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13 Feb 2018, 22:44
Kudos
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
85% (00:43) correct
15%
(00:51)
wrong
based on 144
sessions
History
Date
Time
Result
Not Attempted Yet
l, m, and h are straight lines with l||m. Is angle B equal to 90°?
(1) Angle A = 55°
(2) Angle D > 90°
Attachment:
2018-02-14_0942.png [ 9.66 KiB | Viewed 4334 times ]
14 Feb 2018, 07:40
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Bunuel
We can see here that angles A and B are supplementary (sum is 180), similarly angles C and D are also supplementary.
Also, since l || m, we have angle A = angle C and angle B = angle D (corresponding angles)
Statement 1
Angle A = 55, this means angle B = 180 - 55 = 125, which is NOT 90. This gives us NO as an answer to the question asked. Sufficient.
Statement 2
Angle D > 90, and since angle B = angle D, angle B is also > 90, so NOT 90. This also gives us NO as an answer to the question asked. Sufficient.
Hence D answer
14 Feb 2018, 11:09
Kudos
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Bunuel
Target question: Is angle B equal to 90°?
Given: l||m
Statement 1: Angle A = 55°
Since angles A and B are on the same line, they must add to 180°
So, we can conclude that Angle B = 90°
So, the answer to the target question is NO, Angle B does NOT equal 90°
Since we can answer the target question with certainty, statement 1 is SUFFICIENT
Statement 2: Angle D > 90°
Since lines l and m are parallel, we can see that Angle B = Angle D
So, if Angle D > 90° then it must also be true that Angle B > 90°
If Angle B > 90°, then Angle B CANNOT equal 90°
So, the answer to the target question is NO, Angle B does NOT equal 90°
Since we can answer the target question with certainty, statement 2 is SUFFICIENT
Answer: D
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