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20 Sep 2017, 22:49
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C
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In the figure, x + y =
(A) 60
(B) 135
(C) 165
(D) 195
(E) 220
Attachment:
2017-09-20_1021_001.png [ 7.71 KiB | Viewed 2122 times ]
21 Sep 2017, 00:41
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The four lines form a quadrilateral
The two angles that lie of the same straight line as the angles given(135 and 60)
are \(180 - 135 = 45\) and \(180 - 60 = 120\) respectively.
The other two angles in the quadrilateral are 180 - x and 180 - y
The sum of the angles in a quadrilateral is 360 degree.
180 - x + 180 - y + 120 + 45 = 360
x+y = 165 degree(Option C)
21 Sep 2017, 10:33
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In the given quadrilateral, sum of interior angles =180(n-2)=180x2=360
Sum of interior angles are (180-x)+(180-y)+(180-135)+(180-60)
=(180-x)+(180-y)+45+120=360
x+y=165
Answer C
Sum of interior angles are (180-x)+(180-y)+(180-135)+(180-60)
=(180-x)+(180-y)+45+120=360
x+y=165
Answer C
