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The figure above is a cube. What is the measure of angle BEG

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The figure above is a cube. What is the measure of angle BEG [#permalink]

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New post 18 Jan 2012, 11:39
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The figure above is a cube. What is the measure of angle BEG (not shown)?
A. 30°
B. 45°
C. 60°
D. 75°
E. 90°
[Reveal] Spoiler: OA

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Re: The figure above is a cube. What is the measure of angle BEG [#permalink]

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New post 18 Jan 2012, 11:47
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Baten80 wrote:
Attachment:
Cube.jpg

The figure above is a cube. What is the measure of angle BEG (not shown)?
A. 30°
B. 45°
C. 60°
D. 75°
E. 90°


Note that triangle BEG is equilateral: it's made by the diagonals of the adjacent faces of the given cube (and as faces of a cube are squares its diagonals are equal). Thus angle BEG=60 degrees.

Answer: C.
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Re: The figure above is a cube. What is the measure of angle BEG [#permalink]

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New post 19 Jan 2012, 11:42
Since triangle BEG is made of the diagonals for equale squares then the measures of < B, <E and ,<G are all equal. keep in mind that since all angles are equal then their sum has to equal 180. so, 180/3=60
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Re: The figure above is a cube. What is the measure of angle BEG [#permalink]

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New post 04 Jan 2015, 21:36
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Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: The figure above is a cube. What is the measure of angle BEG   [#permalink] 04 Jan 2015, 21:36
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