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15 May 2018, 07:15
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D
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Difficulty:
5%
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Question Stats:
94% (00:45) correct
6%
(00:28)
wrong
based on 172
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If a = 100, what is the value of c?
(1) b = 30
(2) f = 50
Attachment:
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15 May 2018, 07:26
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IMO is D.. first statement is sufficient as angle d will be 100 and b is 30 so 180-100-30 = 50 I. E angle C. Second statement as angle for is 50 so angle can is also 50
Sent from my SM-G935F using GMAT Club Forum mobile app
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15 May 2018, 10:56
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GMATPrepNow
In the diagram, because of vertically opposite lines, angle a = angle d, angle b = angle e and angle c = angle f. Also sum of these 6 angles will be 360 degrees. We are given that a = d =100. So a+d = 200 and c+f+b+e = 160. Or we can say 2c + 2b = 160 or c+b = 80 degrees. We need to find c.
(1) b=30. So c = 80-30 = 50 degrees. Sufficient.
(2) f=50, but f is same as c. So c = 50 degrees. Sufficient.
Hence D answer
