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Updated on: 06 Jul 2019, 01:18
Originally posted by Bunuel on 21 Jun 2017, 01:57.
Last edited by Sajjad1994 on 06 Jul 2019, 01:18, edited 1 time in total.
Last edited by Sajjad1994 on 06 Jul 2019, 01:18, edited 1 time in total.
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Difficulty:
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Question Stats:
97% (00:47) correct
3%
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based on 30
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In the figure, the ratio of x to y is 2. What is the value of y ?
(A) 108
(B) 90
(C) 68
(D) 45
(E) 36
Source: Nova GMAT
Difficulty Level: 600
Difficulty Level: 600
Attachment:
2017-06-21_1256.png [ 4.76 KiB | Viewed 2624 times ]
sashiim20
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21 Jun 2017, 02:05
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Bunuel
In the figure, the ratio of x to y is 2. What is the value of y ?
(A) 108
(B) 90
(C) 68
(D) 45
(E) 36
Attachment:
2017-06-21_1256.png
From the diagram , \(x + y + y = 180 ==> x + 2y = 180\)
Let angle of \(x\) be \("a"\). Ratio \(= \frac{x}{y} = \frac{2}{1} = \frac{2a}{a}\)
\(2a + 2a = 180\)
\(4a = 180\)
\(a = \frac{180}{4} = 45.\)
\(y = a = 45.\) Answer (D) ...
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21 Jun 2017, 02:28
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Since X=2Y
180 = 4Y
Y=45
180 = 4Y
Y=45
