How many degrees in a seven sided shape?

Answer 1

You work out the sum of the inside angles by taking the number of sides of the shape minus two, then multiplying that by 180. For example, a quadrilateral has four sides, so you take away two from four and get two. Multiply two by 180 and you get 360˚. For each inside angle, if it is regular (a square) divide 360 by four (the number of angles) and you get 90˚. For an outside angle, do 360 (the degrees of a full circle) minus 90 (inside angle). You get 270˚. The sum of the outside angles is then 270 times four - 1080˚. Get the idea? So, a seven sided shape has seven sides (duh). Minus two is five. Five times 180 is 900˚. If it is a regular shape, divide 900 by seven (it isn't a whole number - sorry), and that is one inside angle. If you want the OUTSIDE angles, find each inside angle then take that away from 360. Times by seven for the sum of the outside angles. This was a very long way of explaining, but I didn't know what type of angle you wanted! Hope it makes sense!!! ;)