Interior Angle Sum Of A Polygon

In any polygon the sum of an interior angle and its corresponding exterior angle is 180.

Interior angle sum of a polygon. Each interior angle of a regular polygon measures 160. Hence we can say now if a convex polygon has n sides then the sum of its interior angle is given by the following formula. In a regular polygon all the interior angles measure the same and hence can be obtained by dividing the sum of the interior angles by the number of sides.

After examining we can see that the number of triangles is two less than the number of sides always. The measure of each interior angle of an equiangular n gon is. The angle sum of this polygon for interior angles can be determined on multiplying the number of triangles by 180.

Sum of interior angles p 2 180. The sum of the measures of the interior angles of a polygon with n sides is n 2 180. So it s going to be 100 times 180 degrees which is equal to 180 with two more zeroes behind it.

You can say ok the number of interior angles are going to be 102 minus 2. 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. If you count one exterior angle at each vertex the sum of the measures of the exterior angles of a polygon is always 360.

So if someone told you that they had a 102 sided polygon so s is equal to 102 sides. That is interior angle exterior angle 180 160 exterior angle 180 exterior angle 20. How many sides does the polygon have.

So it d be 18 000 degrees for the interior angles of a 102 sided polygon. S n 2 180. Sum of interior angles n 2 180 each angle of a regular polygon n 2 180 n.