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# In the figure above, if x = 2y, then y =

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Math Expert
Joined: 02 Sep 2009
Posts: 54370
In the figure above, if x = 2y, then y =  [#permalink]

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19 Jul 2017, 02:51
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Difficulty:

5% (low)

Question Stats:

100% (00:26) correct 0% (00:00) wrong based on 54 sessions

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In the figure above, if x = 2y, then y =

(A) 50
(B) 40
(C) 30
(D) 20
(E) 10

Attachment:

2017-07-19_1350.png [ 4.68 KiB | Viewed 868 times ]

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Joined: 14 Oct 2015
Posts: 249
GPA: 3.57
Re: In the figure above, if x = 2y, then y =  [#permalink]

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19 Jul 2017, 03:59
Bunuel wrote:

In the figure above, if x = 2y, then y =

(A) 50
(B) 40
(C) 30
(D) 20
(E) 10

Attachment:
2017-07-19_1350.png

It should be A

Angles on a lines sum up to be 180.

$$x + y + 30 = 180.$$

Since $$x = 2y$$

$$2y + y + 30 = 180$$

$$3y = 150$$

$$y = 50$$
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Re: In the figure above, if x = 2y, then y =  [#permalink]

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19 Jul 2017, 09:27
Bunuel wrote:

In the figure above, if x = 2y, then y =

(A) 50
(B) 40
(C) 30
(D) 20
(E) 10

Attachment:
2017-07-19_1350.png

Given x = 2y
30+x+y = 180
3y = 150
y = 50

Correct Option: A
Intern
Joined: 17 Jul 2017
Posts: 8
Re: In the figure above, if x = 2y, then y =  [#permalink]

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19 Jul 2017, 10:18
Since x=2y
therefore
30+2y+y=180
30+3y=180
3y=150
y=50
Target Test Prep Representative
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2825
Re: In the figure above, if x = 2y, then y =  [#permalink]

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25 Jul 2017, 10:59
Bunuel wrote:

In the figure above, if x = 2y, then y =

(A) 50
(B) 40
(C) 30
(D) 20
(E) 10

From the figure, we can create the following equation:

30 + x + y = 180

Since x = 2y, we have:

30 + 2y + y = 180

30 + 3y = 180

3y = 150

y = 50

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Re: In the figure above, if x = 2y, then y =   [#permalink] 25 Jul 2017, 10:59
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