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# Three lines intersect as shown above. The value of x =

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Math Expert
Joined: 02 Sep 2009
Posts: 54376
Three lines intersect as shown above. The value of x =  [#permalink]

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24 Aug 2017, 23:47
00:00

Difficulty:

15% (low)

Question Stats:

94% (00:31) correct 6% (00:19) wrong based on 23 sessions

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Three lines intersect as shown above. The value of x =

(A) 30
(B) 50
(C) 60
(D) 90
(E) 100

Attachment:

2017-08-25_1041_002.png [ 7.16 KiB | Viewed 517 times ]

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Re: Three lines intersect as shown above. The value of x =  [#permalink]

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24 Aug 2017, 23:55

Since, angles in a straight line add up to 180,
the two angles adjacent to 130 and 150 are 50 and 30 respectively.

We also know that the sum of three angles in a triangle are 180,
making the third angle in the triangle formed by the intersection
of the three lines, 180 - (50 + 30) = 100

The angle x which is a equal to this third angle is also 100(Option E)
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Re: Three lines intersect as shown above. The value of x =   [#permalink] 24 Aug 2017, 23:55
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