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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] New post 18 Jan 2012, 10:39
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

59% (01:19) correct 41% (00:09) wrong based on 32 sessions
Attachment:
Cube.jpg
Cube.jpg [ 21.46 KiB | Viewed 2428 times ]

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] New post 18 Jan 2012, 10:47
Expert's post
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] New post 19 Jan 2012, 10:42
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] 19 Jan 2012, 10:42
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