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01 Aug 2017, 05:07
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E
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In the figure above, if lines m, n, p are parallel, what is the sum of x + y?
(A) 40
(B) 60
(C) 80
(D) 90
(E) 100
Attachment:
2017-08-01_1351_001.png [ 6.06 KiB | Viewed 2007 times ]
01 Aug 2017, 07:10
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Quote:
Extend the line from m to n, a triangle is formed.
The line which is formed at the intersection of the line n and the extended line is 180-x
Therefore, the angle inside the triangle is x.
In the triangle formed, the angle on the line is 180-(40+60) = 80 degree.
Since the sum of angles in a triangle is 180 degree,
x+y+80 = 180
x+y = 100 degree(Option E)
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01 Aug 2017, 07:17
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Bunuel
In the figure above, if lines m, n, p are parallel, what is the sum of x + y?
(A) 40
(B) 60
(C) 80
(D) 90
(E) 100
Attachment:
2017-08-01_1351_001.png
Let us name straight line between m and n as R
P makes same angle on m as on n . that means P makes 40 degree angle at m
hence X=4o
Let us name straight line between n and p as T
p makes same angle on n as on p . that means T makes 60 degree angle at p
hence Y=60
x+y=40+60=100
hence option (E)
