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Drawing contains a square and two equilateral triangles.

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Drawing contains a square and two equilateral triangles. [#permalink] New post 04 Oct 2006, 15:41
Drawing contains a square and two equilateral triangles. What is the measure of angle X?
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Last edited by Nsentra on 04 Oct 2006, 17:21, edited 2 times in total.
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 [#permalink] New post 04 Oct 2006, 17:22
rbcola wrote:
I take that back X will be 60.


rbcola, I've updated the image, please be so kind and explain your steps to us.
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 [#permalink] New post 04 Oct 2006, 17:41
OK .. now that the figure is labeled here we go.

Angle ACE is 90 + 60 = 150

Angle CAE = Angle CEA = 15 degrees (180-150)/2

Similarly Angle DBC = CDB = 15

Now focus on traingle AOB

Anlge ABO = 60 + 15 = 75
Angle OAB = 60 - 15 = 45

Angle AOB = 180 - (75+ 45) = 60 degrees - Answer

Last edited by rbcola on 04 Oct 2006, 18:23, edited 1 time in total.
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 [#permalink] New post 04 Oct 2006, 18:16
WOW rbcola, you must be drunk when you did this problem
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 [#permalink] New post 04 Oct 2006, 23:47
ya 60

rbcola, that's a nice explanation
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Last edited by cicerone on 25 Sep 2008, 00:31, edited 1 time in total.
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 [#permalink] New post 05 Oct 2006, 07:15
cicerone wrote:
ya 60

rbcola, that's a nice explanation


that's great thank you!
  [#permalink] 05 Oct 2006, 07:15
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Drawing contains a square and two equilateral triangles.

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