How To Find Out The Interior Angle Of A Polygon

The measure of each interior angle of an equiangular n gon is.

How to find out the interior angle of a polygon. 720 120 heptagon or septagon 7. 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. The interior and exterior angles together lie on a straight line.

Same thing for an octagon we take the 900 from before and add another 180 or another triangle getting us 1 080 degrees. 9 2 180. The sum of the measures of the interior angles of a polygon with n sides is n 2 180.

7 180. 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. By using the formula sum of the interior angles of the above polygon is.

So the above regular polygon has 9 sides. N 2 180. The number of degrees inside the polygon can be determined by multiplying the number of triangles in the shape by 180 degrees.

The interior angle of a polygon an interior angle is the angle inside the polygon at a vertex. For example since you divided your hexagon into 4 triangles you would calculate 4 180 720 displaystyle 4 times 180 720 to find a total of 720 degrees in the interior of your polygon. So we can use this pattern to find the sum of interior angle degrees for even 1 000 sided polygons.

Notice that the number of triangles is 2 less than the number of sides in each example. Let s take a look at some of the polygons to find a pattern. Formula to find the sum of interior angles of a n sided polygon is.