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:

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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