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l, m, and h are straight lines with l||m. Is angle B equal to 90°?

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l, m, and h are straight lines with l||m. Is angle B equal to 90°?  [#permalink]

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New post 13 Feb 2018, 22:44
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

84% (00:50) correct 16% (00:54) wrong based on 90 sessions

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Re: l, m, and h are straight lines with l||m. Is angle B equal to 90°?  [#permalink]

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New post 14 Feb 2018, 07:40
Bunuel wrote:
Image
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


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
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Re: l, m, and h are straight lines with l||m. Is angle B equal to 90°?  [#permalink]

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New post 14 Feb 2018, 11:09
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Top Contributor
Bunuel wrote:
Image
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



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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Re: l, m, and h are straight lines with l||m. Is angle B equal to 90°?  [#permalink]

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New post 03 Apr 2018, 11:56
Bunuel wrote:
Image
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


Just Curious is it really 600-700 level question going by the difficulty level of the question ?
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Re: l, m, and h are straight lines with l||m. Is angle B equal to 90°?   [#permalink] 03 Apr 2018, 11:56
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