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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 18 Oct 2019, 03:03
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A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (00:38) correct 18% (00:52) wrong based on 34 sessions

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

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New post 18 Oct 2019, 03:06
1
Are we missing a diagram here ?

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

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New post 18 Oct 2019, 03:11
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Re: If L1 || L2, what is the value of x?  [#permalink]

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New post 18 Oct 2019, 04:17
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 = 180 - 50 = 130
x = 65

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

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New post 22 Oct 2019, 22:05

Solution



Given:
    • \(L_1\) is parallel to \(L_2\)

To find:
    • The value of x

Approach and Working Out:
    • We know that on line \(L_3\), sum of x + x + third angle = \(180^o\), since it is a straight angle
    • The third angle = \(50^o\) (alternate angles, \(L_3\) as a transversal)
      o Therefore, 2x = 180 – 50
      o Implies, \(x = 65^o\)

Hence, the correct answer is Option D.

Answer: D
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Re: If L1 || L2, what is the value of x?   [#permalink] 22 Oct 2019, 22:05
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