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# In the figure above, if lines m and n are parallel, what is the value

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Math Expert
Joined: 02 Sep 2009
Posts: 47110
In the figure above, if lines m and n are parallel, what is the value [#permalink]

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01 Aug 2017, 04:58
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In the figure above, if lines m and n are parallel, what is the value of y?

(A) 30
(B) 40
(C) 70
(D) 80
(E) cannot be determined

Attachment:

2017-08-01_1350.png [ 6.94 KiB | Viewed 603 times ]

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Re: In the figure above, if lines m and n are parallel, what is the value [#permalink]

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01 Aug 2017, 07:40
Bunuel wrote:

The only thing that we can figure out from this figure is :
2x + y + 40 = 180 or 2x + y = 140(because the sum of angles in a straight line is 180 degree)

Though line m || n, we cannot say anything about x and y from that.
Also, we could have several combinations for values of x and y.
If x is 30, then y is 80
If x is 40, then y is 60
We cannot get a fixed value for y. Hence, Option E should be the answer.
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Re: In the figure above, if lines m and n are parallel, what is the value [#permalink]

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01 Aug 2017, 07:57
Bunuel wrote:

In the figure above, if lines m and n are parallel, what is the value of y?

(A) 30
(B) 40
(C) 70
(D) 80
(E) cannot be determined

Attachment:
2017-08-01_1350.png

2x+y = 140

There is only one equation and two unknown variables so it will result in multiple cases as no other information of x and y can be

Bunuel : Does GMAT ever give any questions with option "can not be determined" in PS???
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Re: In the figure above, if lines m and n are parallel, what is the value [#permalink]

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02 Aug 2017, 13:36
Bunuel wrote:

In the figure above, if lines m and n are parallel, what is the value of y?

(A) 30
(B) 40
(C) 70
(D) 80
(E) cannot be determined

Attachment:
2017-08-01_1350.png

We see that 40 + x + y + x = 180 or 2x + y = 140. However, since we don’t know the value of x, we can’t determine the value of y.

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Re: In the figure above, if lines m and n are parallel, what is the value   [#permalink] 02 Aug 2017, 13:36
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