What Is The Interior Angle Sum Of An Octagon
N n 2 180 n 2 180 n.
What is the interior angle sum of an octagon. How many degrees are in an octagon. 6 180 1080 1080 8 135 therefore the sum of the measures of the interior angles of an octagon is 135. Subtract two from the number of sides in an octagon.
In general if a polygon has n sides then the sum s of the interior angles of the. Since an octagon has eight sides subtract two from eight to get six. If it is a regular polygon all sides are equal all angles are equal shape sides sum of interior angles shape each angle.
In this case 6 x 180 1080. See full answer below. Sum of interior angles of any closed regular polygon is given by n 2 180 where n is number of sides so octagon s internal angle sum is 1080 and hexagon is 720.
That means that if you add up all the angles in those six triangles you ll get the total internal angle sum of the octagon. The sum of all the internal angles of any octagon is 1080. An interior angle of an octagon can have any value in the.
The sum of all the interior angles of a regular octagon is 360 degrees. As with all polygons the external angles total 360. So the sum of the interior angles of an octagon is 1080 degrees.
An octagon is a 8 sided polygon. The method is simple. The sum of the interior angles of an octagon is equal to 1080 degrees.