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°
The OA is C.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
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The figure above is a cube. What is the measure of angle...
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BTGmoderatorLU
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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°
The OA is C.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
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GMATWisdom
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Let us join points B, E and G to make a triangle BEGLUANDATO wrote:
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°
The OA is C.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
In this triangle all the sides are equal being the diagnols of the square faces of the cube.
Thus BEG is an eqilateral triangle.
Therefore all its angles are 60 degrees.
Hence C is the correct answer
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GMATGuruNY
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In the cube shown, let e = 1.
Each side of ∆BEG is the hypotenuse of a 45-45-90 triangle with sides 1, 1, √2.
Since BE=BG=EG=√2, ∆BEG is equilateral.
Thus, ∠BEG = 60 degrees.
The correct answer is C.
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I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
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Scott@TargetTestPrep
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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:BTGmoderatorLU wrote:
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°
The OA is C.
I'm really confused with this PS question. Please, can any expert assist me with it? Thanks in advanced.
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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