A friend asks for your help in designing flower planter boxes. The boxes are to have 4,...

A friend asks for your help in designing flower planter boxes. The boxes are to have 4, 5, 6, or 8 sides, which are to tilt outward at 10°, 20°, or 30°. Write a computer program that can be used to determine the bevel angle a for each of the 12 planter designs. ( Hint: The bevel angle is equal to one-half of the angle formed by the inward normals of two adjacent sides.)