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# In the figure above, if m is parallel to n, what is the value of x?

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Math Expert
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Posts: 55262
In the figure above, if m is parallel to n, what is the value of x?  [#permalink]

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01 Aug 2017, 09:42
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Difficulty:

45% (medium)

Question Stats:

93% (00:31) correct 7% (00:23) wrong based on 42 sessions

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In the figure above, if m is parallel to n, what is the value of x?

(A) 72
(B) 84
(C) 96
(D) 108
(E) 118

Attachment:
2017-08-01_2039_001.png

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Re: In the figure above, if m is parallel to n, what is the value of x?  [#permalink]

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01 Aug 2017, 10:00
If M || N we have

x = 180 - 72

X = 108

In My opinion the answer is D
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Re: In the figure above, if m is parallel to n, what is the value of x?  [#permalink]

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01 Aug 2017, 11:25
Since m // n, we know that the angle above x is also 72.

Therefore x+72 = 180 => x = 108

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Re: In the figure above, if m is parallel to n, what is the value of x?  [#permalink]

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01 Aug 2017, 19:39
Bunuel wrote:

In the figure above, if m is parallel to n, what is the value of x?

(A) 72
(B) 84
(C) 96
(D) 108
(E) 118

Attachment:
2017-08-01_2039_001.png

The vertical angle opposite 72 is 72.

That angle and angle x are consecutive interior angles created by parallel lines cut by a transversal. They are supplementary, so 72 + x = 180

x = 108

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Re: In the figure above, if m is parallel to n, what is the value of x?   [#permalink] 01 Aug 2017, 19:39
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