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# In the figure above, x =

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
In the figure above, x =  [#permalink]

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15 Mar 2018, 23:34
00:00

Difficulty:

25% (medium)

Question Stats:

93% (00:46) correct 7% (00:58) wrong based on 23 sessions

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In the figure above, x =

A. 30
B. 50
C. 60
D. 80
E. It cannot be determined from the information given

Attachment:

2018-03-16_1010_001.png [ 11.81 KiB | Viewed 445 times ]

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Posts: 58402
Re: In the figure above, x =  [#permalink]

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15 Mar 2018, 23:37
Bunuel wrote:

In the figure above, x =

A. 30
B. 50
C. 60
D. 80
E. It cannot be determined from the information given

Attachment:
2018-03-16_1010_001.png

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

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15 Mar 2018, 23:43
Attachment:

2018-03-16_1010_001.png [ 13.87 KiB | Viewed 378 times ]

In the figure above, since vertically opposite angles are equal
A = 70, B = x-20, and C = x+30

In triangle ABC, the sum of angles is 180 degree.

70 + x - 20 + x + 30 = 180
2x + 80 = 180
2x = 100
x = 50(Option B)

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Re: In the figure above, x =   [#permalink] 15 Mar 2018, 23:43
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