How many total degrees are there among all the angles of a hexagon?

To understand the geometry of a six-sided shape, it's helpful to break it down into a more familiar figure: the triangle. If you pick any single corner of a hexagon and draw a line to each of the other non-adjacent corners, you will have neatly divided the shape into exactly four triangles. Since every triangle, by definition, contains 180 degrees within its three angles, you can find the total for the hexagon by multiplying 4 by 180.

This principle reveals a universal formula for calculating the sum of interior angles in any polygon: (n – 2) × 180, where 'n' is the number of sides. The "(n – 2)" simply represents the number of triangles you can split the polygon into from a single corner. For a square (n=4), this gives you (4-2) x 180, or 360 degrees. For a pentagon (n=5), it's (5-2) x 180, resulting in 540 degrees.

This predictable geometry is what makes the hexagon so special in nature and engineering. Bees build their honeycombs with hexagonal cells because it is the most efficient shape for tiling a surface, minimizing the amount of wax needed while maximizing strength and storage space. From giant basalt columns to the shape of a simple bolt, the reliable angles of the hexagon make it one of the most stable and useful shapes around.