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

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

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New post 18 Mar 2019, 00:06
00:00
A
B
C
D
E

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  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) \(a > b\)


Attachment:
#GREpracticequestion In the figure, lines l and k are parallel.jpg
#GREpracticequestion In the figure, lines l and k are parallel.jpg [ 18.37 KiB | Viewed 567 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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New post 18 Mar 2019, 01:19
Bunuel wrote:
Image
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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Re: In the figure, lines l and k are parallel. Which one of the following  [#permalink]

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

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

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

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New post 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.

For concepts download-> https://gmatclub.com/forum/gmat-math-bo ... l#p1073182

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

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

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New post 25 May 2019, 05:32
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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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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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