How To Find The Measure Of One Interior Angle In Each Polygon. To calculate the size of each angle in a regular 20-sided polygon you need to find the sum of the interior angles first. A regular polygon is a flat shape whose sides are all equal and whose angles are all equal.
A polygon will have the number of interior angles equal to the number of sides it has. Its just that the angles arent all congruent so you cant divide by n to get the individual measures. Interior angles of a Regular Polygon 180n 360 n.
If the exterior angle of a polygon is given then the formula to find the interior angle is.
If a polygon has 5 sides it will have 5 interior angles. In order to find the measure of a single interior angle of a regular polygon a polygon with sides of equal length and angles of equal measure with n sides we calculate the sum interior angles or n 2 180 and then divide that sum by the number of sides or n. Where S S the sum of the interior angles and n n the number of congruent sides of a regular polygon the formula is. Round your answer to the nearest tenth if necessary.