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01 Aug 2017, 04:53
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
89% (00:48) correct
11%
(01:21)
wrong
based on 68
sessions
History
Date
Time
Result
Not Attempted Yet
In the figure above, if lines m and n are parallel, then x =
(A) 20
(B) 50
(C) 150
(D) 140
(E) 160
Attachment:
2017-08-01_1349_001.png [ 6.58 KiB | Viewed 3173 times ]
01 Aug 2017, 05:35
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Bunuel
Since line m and n are parallel to each other, one of the angles in the right angled triangle
which has two of its vertices on line n is 70 degree.
Hence, the third angle of the triangle is 180 - 90 - 70 = 20 degree.
The angle x is supplementary to the third angle of this triangle
Therefore, x = 180 - 20 = 160(Option E)
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01 Aug 2017, 07:12
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Say the 3rd line name is P.
Angle opposite to 90 degree ( on the line P ) is 90 degree
Since line m and n are parallel to each other, angle made my line P on line n is also 70 degree.
Now in this triangle we know 2 angles 90 degree and 70 degree
sum of the angles in a triangle is 180
hence third angle =180-90-70=20
The angle x is supplementary to the third angle of this triangle
Therefore, x = 180 - 20=160
hence (E)
Angle opposite to 90 degree ( on the line P ) is 90 degree
Since line m and n are parallel to each other, angle made my line P on line n is also 70 degree.
Now in this triangle we know 2 angles 90 degree and 70 degree
sum of the angles in a triangle is 180
hence third angle =180-90-70=20
The angle x is supplementary to the third angle of this triangle
Therefore, x = 180 - 20=160
hence (E)
