What is the formula for finding the exterior and interior angles of a regular polygon?
Step 1: Determine the formula for the interior angle of a regular polynomial.
The sum of angles of a polynomial is , where is the number of sides.
As the polygon is a regular polygon, it will have equal angles.
So, the measure of each angle is:
Step 2: Determine the formula for the exterior angle of a regular polynomial.
The sum of the interior and the corresponding exterior angle of the polygon must be as they form the straight angle.
So, subtract the measure of interior angle from :
So, the measure of the exterior angle of a regular polygon is .
Therefore, The formula for finding the exterior angle of a regular polygon is and the interior angles of a regular polygon