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In the figure given, what is the value of y?

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In the figure given, what is the value of y?  [#permalink]

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New post Updated on: 09 Feb 2018, 14:41
1
2
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

38% (01:22) correct 62% (01:15) wrong based on 67 sessions

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In the figure given, what is the value of y?



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Originally posted by Jiggy11 on 06 Feb 2018, 12:10.
Last edited by Jiggy11 on 09 Feb 2018, 14:41, edited 2 times in total.
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Re: In the figure given, what is the value of y?  [#permalink]

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New post 06 Feb 2018, 12:25
if a=b, then two lines intersecting both line 'a' and line 'b', must be parallel. If two lines are parallel then alternate interior angles sum is 180. Hence statement 1 is sufficient.
While second statement 2 is not sufficient because, it didn't mention whether two lines intersection both line 'a' and line 'b', are parallel or not.
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Re: In the figure given, what is the value of y?  [#permalink]

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New post 05 Sep 2018, 21:37
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Jiggy11 wrote:
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In the figure given, what is the value of y?

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Statement 1 can be drawn as given below.

Attachment:
1.jpg
1.jpg [ 140.13 KiB | Viewed 295 times ]


As evident, three angles of a quadrilateral are known by the information. Hence, finding 4th one, y, is easy. Hence, sufficient.

Statement 2 can be better drawn as below.

Attachment:
2.jpg
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Being a parallel to b does not mean the other two lines are parallel. By the information, only two supplementary angles are known created by a straight line passing through two different parallel lines.

However, angle formed by any other line could not be find with this information. Hence, insufficient.

So, answer will be A.
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Re: In the figure given, what is the value of y?   [#permalink] 05 Sep 2018, 21:37
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