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# In the figure, lines l and k are parallel. Which one of the following

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Math Expert
Joined: 02 Sep 2009
Posts: 59588
In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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18 Mar 2019, 00:06
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Difficulty:

45% (medium)

Question Stats:

61% (02:02) correct 39% (02:14) wrong based on 36 sessions

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In the figure, lines $$l$$ and $$k$$ are parallel. Which one of the following must be true?

(A) $$a < b$$

(B) $$a ≤ b$$

(C) $$a = b$$

(D) $$a ≥ b$$

(E) $$a > b$$

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#GREpracticequestion In the figure, lines l and k are parallel.jpg [ 18.37 KiB | Viewed 567 times ]

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Joined: 18 Aug 2017
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Location: India
Concentration: Sustainability, Marketing
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Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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18 Mar 2019, 01:19
Bunuel wrote:

In the figure, lines $$l$$ and $$k$$ are parallel. Which one of the following must be true?

(A) $$a < b$$

(B) $$a ≤ b$$

(C) $$a = b$$

(D) $$a ≥ b$$

(E) $$a > b$$

Attachment:
#GREpracticequestion In the figure, lines l and k are parallel.jpg

solving for the given angles
we get b = 75
and a = 150
IMO E a>b
Intern
Joined: 08 Apr 2019
Posts: 25
Location: India
GMAT 1: 700 Q50 V34
Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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18 May 2019, 07:31
From the diagram. A=2B+30, Hence A will always be greater than B. Hence Option E
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Joined: 21 Apr 2019
Posts: 1
Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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18 May 2019, 16:26
How to solve the given angles?

Posted from my mobile device
ISB School Moderator
Joined: 08 Dec 2013
Posts: 615
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '21
GMAT 1: 630 Q47 V30
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Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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18 May 2019, 17:12
RupamPaul13 wrote:
From the diagram. A=2B+30, Hence A will always be greater than B. Hence Option E

Step 1. Draw a line through O parallel to the two given lines.

Now for all the given three parallel lines, interior alternate angles are equal. This gives us the equation:

a=2b+30, so a>b.

Drop a kudos if you find it helpful.
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Joined: 17 Sep 2017
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Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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25 May 2019, 05:27
Hi, can anyone offer an explanation how did we get a= 2b+30, like why "a" is equal to the sum of the other 2 angles
ISB School Moderator
Joined: 08 Dec 2013
Posts: 615
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB '21
GMAT 1: 630 Q47 V30
WE: Operations (Non-Profit and Government)
Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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25 May 2019, 05:32
1
abhishek31 wrote:
Hi, can anyone offer an explanation how did we get a= 2b+30, like why "a" is equal to the sum of the other 2 angles

Interior alternate angles concept.

abhishek31

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IMG_20190525_180058.jpg [ 2.07 MiB | Viewed 212 times ]
Re: In the figure, lines l and k are parallel. Which one of the following   [#permalink] 25 May 2019, 05:32
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