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

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Math Expert
Joined: 02 Sep 2009
Posts: 59039
If L1 || L2, what is the value of x?  [#permalink]

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18 Oct 2019, 03:03
00:00

Difficulty:

15% (low)

Question Stats:

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

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

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

Attachment:

image002.gif [ 943 Bytes | Viewed 412 times ]

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Joined: 25 Apr 2019
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GMAT 1: 680 Q48 V35
Re: If L1 || L2, what is the value of x?  [#permalink]

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

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Math Expert
Joined: 02 Sep 2009
Posts: 59039
Re: If L1 || L2, what is the value of x?  [#permalink]

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18 Oct 2019, 03:11
sachin1114GMCKS wrote:
Are we missing a diagram here ?

Posted from my mobile device

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Yes, thank you. Fixed.
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Re: If L1 || L2, what is the value of x?  [#permalink]

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18 Oct 2019, 04:17
Bunuel wrote:

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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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.

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

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