In the figure above, DA＝DB＝DC, what is the value of x? : GMAT Problem Solving (PS)
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# In the figure above, DA＝DB＝DC, what is the value of x?

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In the figure above, DA＝DB＝DC, what is the value of x? [#permalink]

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23 Jan 2013, 01:45
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In the figure above, DA＝DB＝DC, what is the value of x?

(A) 10
(B) 20
(C) 30
(D) 40
(E) 50

do you approach this problem using property of isosceles triangle?

[Reveal] Spoiler:
Attachment:

Untitled.png [ 14.73 KiB | Viewed 2507 times ]
[Reveal] Spoiler: OA

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Last edited by Bunuel on 28 Aug 2015, 07:50, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: In the figure above, DA＝DB＝DC, what is the value of x? [#permalink]

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23 Jan 2013, 02:35
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Don't know about what others think but I shall approach this problem using the property of isosceles triangles.
The two equal sides will have the same measure in angles too.
Since DA=DC, hence angle DAC must be 50. Similarly, angle ABD must be 30. Thus, angle BDA=180-60 or 120 and angle ADC=180-100=80.
Angle BDC is 120+80=200.
Also, since DB=DC, hence angle DBC= angle DCB and angle BDC=360-200=160.
160+2x=180, therefore x=10.
Hope that helps.
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isosceles.png [ 18.11 KiB | Viewed 4743 times ]

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

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23 Jan 2013, 02:44
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fozzzy wrote:
In the figure above DA=DB=DC. What is the value of x?

a)10
b)20
c)30
d)40
e)50

do you approach this problem using property of isosceles triangle?

Yes. Property of isosceles triangle and the sum of the internal angles of a triangle.

50 + 50 + 30 + 30 + x + x = 180

x = 10
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Triangle.jpeg [ 5.7 KiB | Viewed 4731 times ]

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

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04 Mar 2014, 17:36
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Re: In the figure above, DA＝DB＝DC, what is the value of x? [#permalink]

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28 Aug 2015, 07:31
Hello from the GMAT Club BumpBot!

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

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21 Sep 2016, 12:20
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Re: In the figure above, DA＝DB＝DC, what is the value of x? [#permalink]

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21 Sep 2016, 12:42
I found 10, what's the OA?

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

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21 Sep 2016, 22:36
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Expert's post
ProfX wrote:
I found 10, what's the OA?

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You can check the OA under the spoiler in the original post. BTW it's A indeed.
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Re: In the figure above, DA＝DB＝DC, what is the value of x?   [#permalink] 21 Sep 2016, 22:36
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