Question 469875: What is the sum of all the angles in a polygon?
Answer by duckness73(47) (Show Source):
You can put this solution on YOUR website! If n = the number of sides of the polygon (which also happens to be the number of angles in a polygon), then the sum of the angles of a polygon (in degrees) can be represented with the following formula:
sum of angles of a polygon with n sides = (n - 2) * 180 degrees
For example, in a triangle, which has 3 sides:
sum of angles in a triangle = (3 - 2) * 180 = 180 degrees
In a pentangle, which has 5 sides:
sum of angles in a pentangle = (5 - 2) * 180 = 3 * 180 = 540 degrees
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