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21 Jun 2017, 01:52
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In the figure, what is the value of y ?
(A) 7.5
(B) 15
(C) 30
(D) 40
(E) 45
Attachment:
2017-06-21_1251.png [ 11.22 KiB | Viewed 3406 times ]
Source: Nova GMAT
Difficulty Level: 500
Difficulty Level: 500
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21 Jun 2017, 01:58
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Bunuel
In the figure, what is the value of y ?
(A) 7.5
(B) 15
(C) 30
(D) 40
(E) 45
Attachment:
2017-06-21_1251.png
From the diagram, \(y + 30 = (y + 15) + (y - 15) = y + 15 + y - 15\)
\(y + 30 = 2y\)
\(2y - y = 30\)
\(y = 30\). Answer (C) ...
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21 Jun 2017, 02:34
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Extended outside Angle of a triangle is equal to sum of opposite two angles
(y-15) + (y+15) = y+30
2y = y+30
y = 30
(y-15) + (y+15) = y+30
2y = y+30
y = 30
