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What is the value of x?

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Bunuel
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What is the value of x? [#permalink] New post   28 Oct 2014, 08:23
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Tough and Tricky questions: Coordinate Geometry.





(1) l1 is parallel to l2
(2) y = 70

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BrentGMATPrepNow
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What is the value of x? [#permalink] New post   Updated on: 04 Feb 2023, 09:45
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Bunuel wrote:

Tough and Tricky questions: Coordinate Geometry.



Attachment:
untitled.GIF
What is the value of x?

(1) l1 is parallel to l2
(2) y = 70


Target question: What is the value of x?

IMPORTANT: For geometry Data Sufficiency questions, we are typically checking to see whether the statements "lock" a particular angle, length, or shape into having just one possible measurement. This concept is discussed in much greater detail in the video below.

Notice that neither statement affects the placement of line3

So, let's jump straight to....
Statements 1 and 2 combined
Consider the following two diagrams that both satisfy the conditions in statements 1 AND 2.




Notice that, each time we move line3, the value of x changes.
So, there's no way to determine (i.e., lock in) the value of x
Since we cannot answer the target question with certainty, the combined statements are NOT SUFFICIENT

Answer: E

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Originally posted by BrentGMATPrepNow on 19 Jun 2017, 06:52.
Last edited by BrentGMATPrepNow on 04 Feb 2023, 09:45, edited 1 time in total.
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Re: What is the value of x? [#permalink] New post   28 Oct 2014, 08:51
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Statement 1: It just says about the lines l1 and l2. Nothing about the other 2 lines L3 and L4. So insufficient.

Statement 2: Says only about the angle of y. Nothing about the lines. So insufficient.

Combining (1) & (2): Still no information on lines L3 and L4.

So the answer is E.
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Re: What is the value of x? [#permalink] New post   17 Jun 2017, 09:39
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Bunuel wrote:

Tough and Tricky questions: Coordinate Geometry.



Attachment:
untitled.GIF
What is the value of x?

(1) l1 is parallel to l2
(2) y = 70


Statement 1

l1 parallel to l2 - clearly insufficient because no values given or implied

Statement 2

y=70 we cannot apply transversal properties unless we know that both l1 and l2 and l3 and l4 are all parallel

insuff

Statement 1 and Statement 2

Insuff- we can only find the answer if both vertical lines are also parallel
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Re: What is the value of x? [#permalink] New post   26 Dec 2019, 20:24
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Bunuel wrote:

Tough and Tricky questions: Coordinate Geometry.



Attachment:
untitled.GIF
What is the value of x?

(1) l1 is parallel to l2
(2) y = 70


Analyzing the question:
The angles x and y here are too far apart, we need the lines \(L1 L2\) to be parallel AND the lines \(L3 L4\) to be parallel in order to have the relation \(x + y = 180\). That is already two pieces of information needed just to claim the relation between x and y, besides that we still need to know y (given they don't give away x). The statements give only one piece of information each, so combined this is still insufficient.

Ans: E
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Re: What is the value of x? [#permalink] New post   17 Feb 2021, 23:58
VeritasKarishma plz explain
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Re: What is the value of x? [#permalink] New post   22 Feb 2021, 20:23
aritranandy8 wrote:
VeritasKarishma plz explain


The question is asking what the angle of x is. (Missing from the question btw). Anyway.

To determine what x is, we need to know whether the two pairs of seemingly 'parallel' lines are in fact, parallel. Else, the value of x can change even when the statements are satisfied.

(1) l1 is parallel to l2
This is insufficient b/c we don't know what y is.

(2) y = 70
This is insufficient b/c we don't know whether l1 and l2 are parallel, and whether l3 and l4 are parallel.

Combined: We still don't know whether l3 and l4 are parallel. You need both sets of lines to be parallel to conclude that x = 70
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What is the value of x? [#permalink] New post   21 Jul 2022, 14:16
Image tricked me to assume that l3 and l4 are parallel. Classic C-trap question
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Re: What is the value of x? [#permalink] New post   31 Aug 2023, 05:42
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Re: What is the value of x? [#permalink]
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