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01 Aug 2017, 05:01
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E
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Difficulty:
15%
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86% (00:45) correct
14%
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wrong
based on 37
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In the figure above, if m is parallel to n, and a = 40, then b + c + d + e =
(A) 140
(B) 160
(C) 200
(D) 360
(E) 560
Attachment:
2017-08-01_1350_001.png [ 5.82 KiB | Viewed 1846 times ]
01 Aug 2017, 06:59
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Quote:
If a=40, b=c=140
because sum of angles in a straight line is 180 degree(a+b=180 and a+c=180)
Because m || n, we can say that b=d and c=e(corresponding angles)
Therefore, b+c+d+e = 2(b+c) = \(2(140+140) = 2(280) = 560\)(Option E)
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01 Aug 2017, 08:10
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Bunuel
In the figure above, if m is parallel to n, and a = 40, then b + c + d + e =
(A) 140
(B) 160
(C) 200
(D) 360
(E) 560
Attachment:
2017-08-01_1350_001.png
from the figure above it is clear :
b=c
Also b=d ( angle made by a line on parallel lines)
also d=e
combining all three equations
b=c=d=e--------------------- equation (A)
also from the figure a+b=180 =>b=180-40=140
b+c+d+e=4 b (using equation (A)
b+c+d+e=4*140=560
hence (E)
