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# BCD is a line segment and Angle BAC =1/4 Angle ACB ; Angle ACD = ?

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Joined: 02 Sep 2009
Posts: 62499
BCD is a line segment and Angle BAC =1/4 Angle ACB ; Angle ACD = ?  [#permalink]

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13 May 2016, 03:56
00:00

Difficulty:

15% (low)

Question Stats:

95% (02:24) correct 5% (00:00) wrong based on 33 sessions

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BCD is a line segment and Angle BAC =1/4 Angle ACB ; Angle ACD = ?

A. 140
B. 100
C. 120
D. 60
E. it cannot be determined from the information given

Attachment:

2016-05-13_1556.png [ 2.3 KiB | Viewed 3746 times ]

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Re: BCD is a line segment and Angle BAC =1/4 Angle ACB ; Angle ACD = ?  [#permalink]

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13 May 2016, 08:05
Let angle ACB =x then angle BAC = x/4 then angle ACD = 180 -x because of line.
Even using exterior angle property which is sum of interior angles we cannot find x.

there is no other information given to find the value of x such as angle properties or sides ...

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Re: BCD is a line segment and Angle BAC =1/4 Angle ACB ; Angle ACD = ?  [#permalink]

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13 May 2016, 09:23
Bunuel wrote:

BCD is a line segment and Angle BAC =1/4 Angle ACB ; Angle ACD = ?

A. 140
B. 100
C. 120
D. 60
E. it cannot be determined from the information given

Attachment:
2016-05-13_1556.png

With babuvgmat

Answer can not be determined, option (E)

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Re: BCD is a line segment and Angle BAC =1/4 Angle ACB ; Angle ACD = ?   [#permalink] 13 May 2016, 09:23
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# BCD is a line segment and Angle BAC =1/4 Angle ACB ; Angle ACD = ?

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