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# In the figure above, x =

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Math Expert
Joined: 02 Sep 2009
Posts: 55668
In the figure above, x =  [#permalink]

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11 Jan 2019, 02:18
00:00

Difficulty:

5% (low)

Question Stats:

95% (00:52) correct 5% (01:46) wrong based on 24 sessions

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In the figure above, x =

A. 85
B. 90
C. 95
D. 120
E. 140

Attachment:

2019-01-11_1317.png [ 18.68 KiB | Viewed 320 times ]

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Re: In the figure above, x =  [#permalink]

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11 Jan 2019, 05:14
Bunuel wrote:

In the figure above, x =

A. 85
B. 90
C. 95
D. 120
E. 140

Attachment:
2019-01-11_1317.png

105+ 50+120 = 275
sum of internal angle 275+x= 360
x= 85 IMO A
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Re: In the figure above, x =  [#permalink]

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11 Jan 2019, 11:36
Sum of angles in a polygon= (n-2)*180
Here, polygon is a quadrilateral,hence, n=4
Thus, sum of angles in quadrilateral= (4-2)*180=360

Now, x+50+(180-75)+(180-60)=360
Hence. x=85
Re: In the figure above, x =   [#permalink] 11 Jan 2019, 11:36
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# In the figure above, x =

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