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If l1 is parallel to l2, what is x + 2y?

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If l1 is parallel to l2, what is x + 2y? [#permalink]

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New post 28 Oct 2014, 08:18
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Tough and Tricky questions: Coordinate Geometry.



Attachment:
2014-10-28_1914.png
2014-10-28_1914.png [ 18.23 KiB | Viewed 3653 times ]
If l1 is parallel to l2, what is x + 2y?

A. 90
B. 120
C. 180
D. 270
E. 360
[Reveal] Spoiler: OA

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Re: If l1 is parallel to l2, what is x + 2y? [#permalink]

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New post 28 Oct 2014, 08:48
Interior angle of l1 and l2 is same and equal to 2x.

Also 2x+4y = 180 which implies x+2y =90.

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Re: If l1 is parallel to l2, what is x + 2y? [#permalink]

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New post 29 Oct 2014, 01:04
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Answer = A = 90

Attachment:
2014-10-28_1914.png
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Alternate angles are same; so 4y + 2x = 180

x + 2y = 90
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Re: If l1 is parallel to l2, what is x + 2y? [#permalink]

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New post 29 May 2016, 07:22
Bunuel wrote:

Tough and Tricky questions: Coordinate Geometry.



Attachment:
2014-10-28_1914.png
If l1 is parallel to l2, what is x + 2y?

A. 90
B. 120
C. 180
D. 270
E. 360


The shown angles are such that they are supplementary. (Vertically opposite angle of 2x will also have a value of 2x. That angle + 4y = 180). Or Corresponding angle of 4y will make a supplementary pair with 2x)

2x+4y = 180

x+2y =90

Option A is the answer.

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Re: If l1 is parallel to l2, what is x + 2y? [#permalink]

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New post 11 Oct 2017, 06:39
Hello from the GMAT Club BumpBot!

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Re: If l1 is parallel to l2, what is x + 2y?   [#permalink] 11 Oct 2017, 06:39
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