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If L1 || L2, what is the value of x?

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If L1 || L2, what is the value of x?  [#permalink]

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New post 24 Aug 2018, 05:14
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

86% (00:53) correct 14% (01:20) wrong based on 39 sessions

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Re: If L1 || L2, what is the value of x?  [#permalink]

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New post 24 Aug 2018, 05:18
The angle between L2 and L3 is equal to 50. Corresponding angles.

And x+x+50 = 180.
2x = 130.
x = 65.

D is the answer

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Re: If L1 || L2, what is the value of x?  [#permalink]

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New post 24 Aug 2018, 05:20
Bunuel wrote:
Image
If L1 || L2, what is the value of x?


A. 160
B. 130
C. 100
D. 65
E. 50


Attachment:
image002.gif


On the line l3, x+x+unknown angle=180
Or, 2x+unknown angle=180

L1 || L2, so, alternate angles are equal, hence, unknown angle=50.

So, 2x+50=180
Or, 2x=130
or, x=65

Ans. (D)
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Re: If L1 || L2, what is the value of x?  [#permalink]

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New post 24 Aug 2018, 07:39
Bunuel wrote:
Image
If L1 || L2, what is the value of x?


A. 160
B. 130
C. 100
D. 65
E. 50


Attachment:
image002.gif


\(2x = 130\) ( Supplementary angle of 50 degree and Corresponding angle of parallel lines )

So, \(x = 65\) , Answer must be (D)
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Re: If L1 || L2, what is the value of x?   [#permalink] 24 Aug 2018, 07:39
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