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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, 10:39
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Cube.jpg
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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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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, 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]

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New post 04 Nov 2016, 23:29
BE and EG and BG are all diagonals for the square of a cube. So they are equal in length. so EBG is an equilateral triangle. so all the angles in this triangle are equal to 60 degre.

So 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 05 Nov 2016, 01:35
I don't understand this question. Where is there a triangle/an angle for BEG?

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

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gillyelephant wrote:
I don't understand this question. Where is there a triangle/an angle for BEG?

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

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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°



Please find the solution as attached
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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 07 Nov 2016, 16:19
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°


Since our given figure is a cube, we must recall that a cube is made up of 6 squares, which of course have all equal sides. We need to determine the measure of angle BEG. Let’s draw that angle in a diagram:

Image

From our diagram we can see that we can actually create a triangle using angle BEG with sides BE, EG, and GB. Notice that each side is the diagonal of a square face of the cube and thus is equal in length. Therefore, we know that triangle BEG is an equilateral triangle and furthermore that angle BEG is 60 degrees.

Answer: C
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Re: The figure above is a cube. What is the measure of angle BEG   [#permalink] 07 Nov 2016, 16:19
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