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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  In the figure, lines l and k are parallel. Which one of the following

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Math Expert V
Joined: 02 Sep 2009
Posts: 55801
In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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Difficulty:   45% (medium)

Question Stats: 54% (01:50) correct 46% (02:08) wrong based on 28 sessions

HideShow timer Statistics  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 [ 18.37 KiB | Viewed 461 times ]

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Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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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
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Intern  B
Joined: 08 Apr 2019
Posts: 19
Location: India
Schools: IIM
Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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From the diagram. A=2B+30, Hence A will always be greater than B. Hence Option E
Intern  B
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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How to solve the given angles?

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Joined: 08 Dec 2013
Posts: 457
Location: India
Concentration: Nonprofit, Sustainability
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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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.

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Manager  B
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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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
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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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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

Attachment: IMG_20190525_180058.jpg [ 2.07 MiB | Viewed 111 times ]

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I never gave up what I wanted- 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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