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In the figure shown, lines m and n are parallel and x = 5y. What is th

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Bunuel
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In the figure shown, lines m and n are parallel and x = 5y. What is th [#permalink] New post   Updated on: 15 Jul 2019, 03:54
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A
B
C
D
E

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5% (low)

Question Stats:

88% (00:49) correct 12% (00:44) wrong based on 65 sessions
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In the figure shown, lines m and n are parallel and x = 5y. What is the value of x?

(A) 30
(B) 36
(C) 60
(D) 150
(E) 225

Source: Nova GMAT
Difficulty Level: 500

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D

Originally posted by Bunuel on 20 Apr 2018, 02:28.
Last edited by Sajjad1994 on 15 Jul 2019, 03:54, edited 1 time in total.
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Re: In the figure shown, lines m and n are parallel and x = 5y. What is th [#permalink] New post   20 Apr 2018, 02:34
Bunuel wrote:


In the figure shown, lines m and n are parallel and x = 5y. What is the value of x?

(A) 30
(B) 36
(C) 60
(D) 150
(E) 225


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Attachment:
2018-04-20_1326.png


x+y = 180

5y+y = 180

y = 30

x = 5y = 150

Hence option D = 150 is the answer.
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Re: In the figure shown, lines m and n are parallel and x = 5y. What is th [#permalink] New post   20 Apr 2018, 04:30
Option D.

x = 5y.

5y + y = 180.

y = 30 and x = 150.
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Re: In the figure shown, lines m and n are parallel and x = 5y. What is th [#permalink] New post   23 Apr 2018, 17:32
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Bunuel wrote:


In the figure shown, lines m and n are parallel and x = 5y. What is the value of x?

(A) 30
(B) 36
(C) 60
(D) 150
(E) 225


Show Spoiler
Attachment:
2018-04-20_1326.png


Looking at the diagram we see that y is equal to the angle that is supplementary with angle x. Since supplementary angles sum to 180 degrees, we have:

x + y = 180

Since x = 5y we have:

5y + y = 180

6y = 180

y = 30

So, x = 5y = 150.

Answer: D
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Re: In the figure shown, lines m and n are parallel and x = 5y. What is th [#permalink] New post   21 Jan 2019, 11:47
two parallel lines making Z thus their angle must be same.

thus x + Y = 180
6Y = 180
thus Y = 30
and X = 150
and answer D.
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Re: In the figure shown, lines m and n are parallel and x = 5y. What is th [#permalink]
21 Jan 2019, 11:47
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