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Lines l1 and l2 eventually meet when extended to the right.

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iwillcrackgmat
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Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   22 Mar 2012, 02:37
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lines.JPG
lines.JPG [ 7.37 KiB | Viewed 7257 times ]
Lines l1 and l2 eventually meet when extended to the right. Which of the following could be true?

I. e = a
II. a = f
III. e + c = 180

(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III
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B
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Bunuel
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   22 Mar 2012, 06:50
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iwillcrackgmat wrote:
Lines l1 and l2 eventually meet when extended to the right. Which of the following could be true?

I. e = a
II. a = f
III. e + c = 180

(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III
Attachment:
lines.JPG
lines.JPG [ 7.37 KiB | Viewed 4705 times ]


Look at the diagram below:
Attachment:
Lines.png
Lines.png [ 8.46 KiB | Viewed 4649 times ]

I. e = a --> as you can see this scenario is possible;
II. a = f --> would be so if the lines l1 and l2 were parallel, since in this case a=c=f would be true;
III. e + c = 180 --> would be so if the lines l1 and l2 were parallel, since in this case c=f and e+f=180 (also notice that since e=g then the sum of two interior angles of the triangle g and c can not be 180 degrees);

Answer: B.
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m760
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   22 Mar 2012, 02:44
Straight ans is D.

SInce the lines are not parellel
I can be eliminated
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m760
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   28 Mar 2012, 02:04
Good question and nice explanation
thanks
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   29 Jan 2014, 22:37
Hi Bunuel ,

I am just trying to understand this question.
If e = a, then by looking at the diagram can we say b=f, and c=g ?

Regards
Vinni
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   29 Jan 2014, 22:59
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vinnik wrote:
Hi Bunuel ,

I am just trying to understand this question.
If e = a, then by looking at the diagram can we say b=f, and c=g ?

Regards
Vinni


Yes, you are correct.
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   29 Jan 2014, 23:13
Hi Bunuel, just out of curiosity, if the lines were organized similar to the attached, are statements 2 or 3 still not possible? As always, your help is most appreciated.
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   29 Jan 2014, 23:23
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m3equals333 wrote:
Hi Bunuel, just out of curiosity, if the lines were organized similar to the attached, are statements 2 or 3 still not possible? As always, your help is most appreciated.


Essentially your drawing is the same as mine: if you lower the point of intersection you get the same image as in my post. Hence the logic discarding II and III would be the same too.
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   30 Jan 2014, 00:25
ok, upon further inspection I see exactly what you're saying and why statement 2/3 are not possible, thanks!
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   30 Jan 2014, 01:32
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Bunuel wrote:
iwillcrackgmat wrote:
Lines l1 and l2 eventually meet when extended to the right. Which of the following could be true?

I. e = a
II. a = f
III. e + c = 180

(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III
Attachment:
lines.JPG


Look at the diagram below:
Attachment:
Lines.png

I. e = a --> as you can see this scenario is possible;
II. a = f --> would be so if the lines l1 and l2 were parallel, since in this case a=c=f would be true;
III. e + c = 180 --> would be so if the lines l1 and l2 were parallel, since in this case c=f and e+f=180 (also notice that since e=g then the sum of two interior angles of the triangle g and c can not be 180 degrees);

Answer: B.


Hi Bunuel,

If the question would have said which of the following must be true then Answer would have been be A.
Since the Question ask could be true clearly II and III statements can be ruled out cause we need the lines l1 and l2 to be parallel.

Is it correct??
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   30 Jan 2014, 01:34
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WoundedTiger wrote:
Bunuel wrote:
iwillcrackgmat wrote:
Lines l1 and l2 eventually meet when extended to the right. Which of the following could be true?

I. e = a
II. a = f
III. e + c = 180

(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III
Attachment:
lines.JPG


Look at the diagram below:
Attachment:
Lines.png

I. e = a --> as you can see this scenario is possible;
II. a = f --> would be so if the lines l1 and l2 were parallel, since in this case a=c=f would be true;
III. e + c = 180 --> would be so if the lines l1 and l2 were parallel, since in this case c=f and e+f=180 (also notice that since e=g then the sum of two interior angles of the triangle g and c can not be 180 degrees);

Answer: B.


Hi Bunuel,

If the question would have said which of the following must be true then Answer would have been be A.
Since the Question ask could be true clearly II and III statements can be ruled out cause we need the lines l1 and l2 to be parallel.

Is it correct??


Absolutely. If the question were which of the following MUST be true, then the answer would be A, none.
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   11 Feb 2014, 03:58
The point to note here is that l1 & l2 are NOT parallel. hence II & III cannot be true. I (a=e) could be true hence answer is B.
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   19 Jul 2020, 05:49
Can anyone explain why a = e is correct?
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink] New post   19 Jul 2020, 07:06
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Bunuel wrote:
iwillcrackgmat wrote:
Lines l1 and l2 eventually meet when extended to the right. Which of the following could be true?

I. e = a
II. a = f
III. e + c = 180

(A) None
(B) I only
(C) II only
(D) II and III only
(E) I, II, and III
Attachment:
lines.JPG


Look at the diagram below:
Attachment:
Lines.png

I. e = a --> as you can see this scenario is possible;
II. a = f --> would be so if the lines l1 and l2 were parallel, since in this case a=c=f would be true;
III. e + c = 180 --> would be so if the lines l1 and l2 were parallel, since in this case c=f and e+f=180 (also notice that since e=g then the sum of two interior angles of the triangle g and c can not be 180 degrees);

Answer: B.


Dear Sir,

I went with A because it is not given that l1 || l2.
Still, didn't get it why a=e in the above diagram?

Thanks in advance.
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Re: Lines l1 and l2 eventually meet when extended to the right. [#permalink]
19 Jul 2020, 07:06
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