The Measure Of An Interior Angle Of A Regular Polygon

How many sides does the polygon have.

The measure of an interior angle of a regular polygon. The sum of the interior angles is therefore 180 n 2 in a 15 sided polygon. Interior angle sum of a pentagon 3 x 180 540 if the polygon is regular all its interior angles are equal you can use the result of the angle sum above to calculate the size of each angle. If the exterior angle of a polygon is given then the formula to find the interior angle is.

180 x n 2 nsubstituting with n 18 then the answer is that the interior angle 160the. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. The sum of interior angles of a regular polygon and irregular polygon examples is given below.

First set the formula for each interior angle equal to the number of degrees given. The measure of each interior angle of an equiangular n gon is if you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360. If we know the sum of all the interior angles of a regular polygon we can obtain the interior angle by dividing the sum by the number of sides.

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. The interior angles of a 16 sided polygon add up to 2520 degrees if it s a regular polygon then each interior angle measures 157 5 degrees. Each interior angle of a regular polygon measures 135.

The measure of each interior angle of a regular polygon is equal to the sum of interior angles of a regular polygon divided by the number of sides. The measure of an interior angle in degrees of a regular polygon of n sides is given by the formula. Interior angle of a polygon 180 exterior angle of a polygon.

Interior angles of a regular polygon 180 n 360 n.