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# In the figure above, L1 is parallel to L2 , then x =

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Math Expert
Joined: 02 Sep 2009
Posts: 47080
In the figure above, L1 is parallel to L2 , then x = [#permalink]

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01 Aug 2017, 09:26
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Question Stats:

67% (00:23) correct 33% (01:20) wrong based on 14 sessions

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In the figure above, L1 is parallel to L2, then x =

(A) 30
(B) 50
(C) 70
(D) 105
(E) 210

Attachment:

2017-08-01_2025.png [ 7.6 KiB | Viewed 404 times ]

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Posts: 37
Re: In the figure above, L1 is parallel to L2 , then x = [#permalink]

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01 Aug 2017, 09:37
x+(2x-30)= 180 (as L1 and L2 are parallel and all the corresponding angles are equal)
3x-30=180 ==> 3(x-10)= 180 ==> x-10= 60 ==> x=70
Answer: C
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Re: In the figure above, L1 is parallel to L2 , then x = [#permalink]

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01 Aug 2017, 09:39
Let y be the angle show in the attached picture.

We have $$y = 180 - (2x-30) = 210-2x$$

Since L1 is parallel to L2 we get

$$x = y$$

$$x = 210-2x$$

$$3x = 210$$

$$x = 70$$

Hence IMO answer is C
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Re: In the figure above, L1 is parallel to L2 , then x =   [#permalink] 01 Aug 2017, 09:39
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# In the figure above, L1 is parallel to L2 , then x =

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