How do you work out what all angles add up to in a six sided shape?

Answer 1

The internal (inside) angles of any regular polygon are equal to (n - 2) x 180, where n is the number of sides in the polygon. For example, the sum of the internal angles inside a six-sided shape (hexagon) are equal to (6 - 2) x 180 = 720 degrees.

To find out how much each angle measures, simply divide the result of this by the number of sides - so, 720 / 6 = 120 degrees. Each internal angle in a hexagon is equal to 120 degrees.