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If l || l2 in the figure to the right, what is the value of x?

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If l || l2 in the figure to the right, what is the value of x?  [#permalink]

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New post 17 Jun 2017, 05:41
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A
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C
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If l || l2 in the figure to the right, what is the value of x?
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(A) 30
(B) 45
(C) 60
(D) 72
(E) 90


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Re: If l || l2 in the figure to the right, what is the value of x?  [#permalink]

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New post 17 Jun 2017, 05:47
IMO answer is C.

6x =360, hence x=60
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Re: If l || l2 in the figure to the right, what is the value of x?  [#permalink]

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New post 17 Jun 2017, 05:53
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Since l1 is parallel to l2, angles x=c(corresponding angles)
Also, 5x + c = 360 (angle around any point totals 360)

Since x=c,
6x = 360 => x = 60 degree(Option C)
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Re: If l || l2 in the figure to the right, what is the value of x?  [#permalink]

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New post 17 Jun 2017, 07:26
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Bunuel wrote:
If l1 || l2 in the figure to the right, what is the value of x?
Image


(A) 30
(B) 45
(C) 60
(D) 72
(E) 90


Attachment:
2017-06-17_1738.png


We know that 5x + s = 360 degrees (angles around a point add to 360)

If l1 and l2 are parallel, then angle s = angle x

So, we can take 5x + s = 360 and replace s with x to get: 5x + x = 360
Simplify: 6x = 360
Solve: x = 60

Answer:

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Re: If l || l2 in the figure to the right, what is the value of x?  [#permalink]

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New post 17 Jun 2017, 07:32
5x + x = 360

So, 6x = 360

Or, x = 60

Thus, answer must be (C)
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Re: If l || l2 in the figure to the right, what is the value of x?  [#permalink]

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New post 17 Jul 2017, 10:25
I thought 5x=x because they are alternate exterior angles. Aren't they??
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If l || l2 in the figure to the right, what is the value of x?  [#permalink]

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New post 17 Jul 2017, 11:23
longhaul123 wrote:
I thought 5x=x because they are alternate exterior angles. Aren't they??

5x refers to the circle with arrows at both ends. That circle indicates an angle that is NOT acute like x.

5x means "this much of the 360° around this point (that also contains angle S) has a measure of 5x."

s and x are corresponding angles. Not sure how you're getting 5x as an alternate exterior angle.
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Re: If l || l2 in the figure to the right, what is the value of x?  [#permalink]

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Re: If l || l2 in the figure to the right, what is the value of x?   [#permalink] 16 Oct 2018, 09:30
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