Polygon Equations Summary
Equation The sum of the exterior angles of a polygon is always 360 o. The sum of the exterior angles of a polygon is always 360 o. The sum of the interior angles can be found using the formula… The sum of the interior angles can be found using the formula…Sum=180(n-2)
More Formulas If the question asks you to find each individual side length of the interior angles of a polygon, divide the sum of the angles by the number of sides. If the question asks you to find each individual side length of the interior angles of a polygon, divide the sum of the angles by the number of sides. Sum of angles/# of sides
More Formulas To find each individual exterior angle you can divide 360 by the number of sides. To find each individual exterior angle you can divide 360 by the number of sides. 360/# of sides
Example Find the measure of each interior and each exterior angle of a 10 sided polygon. Find the measure of each interior and each exterior angle of a 10 sided polygon. Sum=180(n-2) Int. Angles=1140/10 =180(10-2) =114 o =180(10-2) =114 o =180(8) Ext. Angles=360/10 =180(8) Ext. Angles=360/10 =1440 o =36 o =1440 o =36 o