how do you find out the interior and exterioir angle sums?
To find the interior and exterior angle sums of a polygon, you need to know the number of sides in the polygon. The interior angle sum of a polygon is the total measure of all the angles inside the polygon, while the exterior angle sum is the sum of the angles formed by extending the sides of the polygon.
Here's how you can calculate them:
1. Interior Angle Sum:
- Use the formula: (n - 2) * 180, where 'n' represents the number of sides in the polygon.
- Subtract 2 from the number of sides.
- Multiply the result by 180 to get the interior angle sum.
2. Exterior Angle Sum:
- Use the formula: 360 degrees, where 360 is the total measure of a full circle.
- Divide 360 by the number of sides in the polygon to calculate the measure of each exterior angle.
- Multiply the measure of each exterior angle by the number of sides to get the exterior angle sum.
It is important to note that these formulas work for regular polygons (where all sides and angles are equal) as well as irregular polygons (where sides and angles vary).