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In the figure above, lines k1 and k2 are parallel to each other, lines

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In the figure above, lines k1 and k2 are parallel to each other, lines  [#permalink]

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New post 02 Jun 2015, 06:58
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A
B
C
D
E

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  95% (hard)

Question Stats:

41% (02:55) correct 59% (02:53) wrong based on 142 sessions

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In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x?

(1) x = 3z – y
(2) (y – z)^2 = 225

Attachment:
2015-06-02_1757.png
2015-06-02_1757.png [ 24.92 KiB | Viewed 4171 times ]

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In the figure above, lines k1 and k2 are parallel to each other, lines  [#permalink]

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New post Updated on: 04 Jun 2015, 06:54
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[quote="Bunuel"]Image
In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x?

(1) x = 3z – y
(2) (y – z)^2 = 225


Answer: Option
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Originally posted by GMATinsight on 02 Jun 2015, 07:27.
Last edited by GMATinsight on 04 Jun 2015, 06:54, edited 1 time in total.
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Re: In the figure above, lines k1 and k2 are parallel to each other, lines  [#permalink]

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New post 04 Jun 2015, 03:36
I think the answer is C. We can combine the parallel lines and will have X+Y+Z = 180
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Re: In the figure above, lines k1 and k2 are parallel to each other, lines  [#permalink]

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New post 04 Jun 2015, 05:39
GMATinsight wrote:
Bunuel wrote:
Image
In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x?

(1) x = 3z – y
(2) (y – z)^2 = 225


Answer: Option

Attachment:
2015-06-02_1757.png


GMAT Insight,

you mentioned (y-z)^2 = 225 => y-z = 15, I guess this is not correct, it should be y -z = 15 or y-z = -15

therefore after combining st 1 and st2 ,we will have two answers, So final answer is E.
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Re: In the figure above, lines k1 and k2 are parallel to each other, lines  [#permalink]

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New post 04 Jun 2015, 06:56
viksingh15 wrote:
GMATinsight wrote:
Bunuel wrote:
Image
In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x?

(1) x = 3z – y
(2) (y – z)^2 = 225


Answer: Option

Attachment:
2015-06-02_1757.png


GMAT Insight,

you mentioned (y-z)^2 = 225 => y-z = 15, I guess this is not correct, it should be y -z = 15 or y-z = -15

therefore after combining st 1 and st2 ,we will have two answers, So final answer is E.


You are right. Correction Done. Thank you!
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Re: In the figure above, lines k1 and k2 are parallel to each other, lines  [#permalink]

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New post 08 Jun 2015, 03:41
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Bunuel wrote:
Image
In the figure above, lines k1 and k2 are parallel to each other, lines l1 and l2 are parallel to each other, and line m passes through the intersection points of k1 with l1 and k2 with l2. What is the value of x?

(1) x = 3z – y
(2) (y – z)^2 = 225

Attachment:
The attachment 2015-06-02_1757.png is no longer available


MANHATTAN GMAT OFFICIAL SOLUTION:

Redraw the diagram and label as much as possible. Using the rules about a transversal (line m) intersecting parallel lines (in this case, two sets of parallel lines), we can label at least two more angles y° and z°:
Image

We have labeled three angles that form a straight line at the intersection of k1, l1, and m, so x + y + z = 180. Since x = 180 – (y + z), the rephrased question is “What is the value of x or the value of (y + z)?"

(1) INSUFFICIENT: Substitute x = 3z – y into x + y + z = 180 and simplify:
(3z – y) + y + z = 180
4z = 180
z = 45
This provides neither the value of x nor the value of (y + z).

(2) INSUFFICIENT: Simplify the expression.
(y – z)^2 = 225
(y – z) = –15 or 15, so |y – z| = 15.
This provides neither the value of x nor the value of (y + z).

(1) & (2) INSUFFICIENT: There are two solutions as indicated by the absolute value in (2):
y – z = 15: OR y – z = –15:
y = 15 + z OR y = –15 + z
y = 15 + 45 OR y = –15 + 45
y = 60 OR y = 30
y + z = 60 + 45 = 105 OR y + z = 30 + 45 = 75

The correct answer is E, because even with both statements, we cannot tell whether x = y + z = 75 or 105.

Attachment:
2015-06-08_1438.png
2015-06-08_1438.png [ 25.78 KiB | Viewed 3819 times ]

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Re: In the figure above, lines k1 and k2 are parallel to each other, lines  [#permalink]

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Re: In the figure above, lines k1 and k2 are parallel to each other, lines   [#permalink] 18 Jul 2019, 09:44
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