Find The Sum Of The Measures Of The Interior Angles Of Each Convex Polygon 11-gon. 156 Find the measure of each interior angle. Find the sum of the measures of the interior angles of each convex polygon.
It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by. Hence sum of the measures of the interior angles of a 21 sided polygon is 21 2 180 19 180 3420. 628721 The sum of the interior angle measures is or 360.
The formula for finding the sum of the measure of the interior angles is n - 2 180.
Further each pair of exterior angle and interior angle adds up to 180 Hence in a polygon with n sides or angles the sum of all the interior and exterior angles would be 180xxn and sum of interior angles would be 180xxn-360180n-2 Hence sum of interior angles of a convex 16-sided polygon would be 180xx16-2180xx142520. The sum of the interior angles in a polygon depends on the number of sides it has. Use the Polygon Interior Angles Sum Theorem to find the sum of its interior angle measures. Find the sum of the measures of the interior angles of each convex polygon.