Find The Sum Of Interior Angles Of A Octagon

Sum of interior angles of 1080 20 diagonals.

Find the sum of interior angles of a octagon. First we must figure out what each of the interior angles equal. If you do a little investigating you ll find that the number of triangles is always two less than the number of sides. Enter the number of sides of the polygon in the below online sum of interior angles calculator and then click calculate button to find the answer.

Displaystyle sum n 2 times 180 where. N 2 180 n where n is the number of sides of the polygon. 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.

There are six triangles. 8 2 180 8 6 180 8 1080 8 135 degrees. Any n sided polygon has interior angles that sum to 180 n 2 degrees.

Because the sum of the angles of each triangle is 180 degrees. Here is the formula. Let n n equal the number of sides of whatever regular polygon you are studying.

Where n number of sides of a polygon. So the sum of the interior angles of an octagon is 1080 degrees. The formula for the sum of that polygon s interior angles is refreshingly simple.

You can do this with any convex polygon and by convex i mean that all the internal angles are less than 180 degrees. Sum interior angles number of sides 2 180 8 2 180 1080 the sum of the interior angles of an octagon is 1080 in a regular octagon divide by 8 for each angle 135. A regular octagon has.