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# In the figure above, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 55264
In the figure above, what is the value of x?  [#permalink]

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17 Aug 2017, 23:44
00:00

Difficulty:

15% (low)

Question Stats:

95% (00:28) correct 5% (00:11) wrong based on 34 sessions

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In the figure above, what is the value of x?

(A) 75
(B) 90
(C) 95
(D) 105
(E) 110

Attachment:

2017-08-18_1027_002.png [ 12.58 KiB | Viewed 710 times ]

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Re: In the figure above, what is the value of x?  [#permalink]

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18 Aug 2017, 01:11
Bunuel wrote:

In the figure above, what is the value of x?

(A) 75
(B) 90
(C) 95
(D) 105
(E) 110

Attachment:
2017-08-18_1027_002.png

DCE=BCA = 45
In triangle ABC
x+45+30 = 180
x=105
D
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Luckisnoexcuse
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Re: In the figure above, what is the value of x?  [#permalink]

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18 Aug 2017, 02:22
Ans - d - 105

Angle BCA=DCE = 45 (vertically opossite angle)

In traingle BAC , BCA+A+x= 180 , Substituting x= 105
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Re: In the figure above, what is the value of x?  [#permalink]

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18 Aug 2017, 02:29
Angle DCE = BCA = 45

Triangle ABC we have =

30 + 45 + x = 180

hence, x = 105

Re: In the figure above, what is the value of x?   [#permalink] 18 Aug 2017, 02:29
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