#### What is the measure of each interior angle of a regular octagon

## What is the measure of interior angle of a regular octagon?

The General Rule

Shape | Sides | Each Angle |
---|---|---|

Octagon | 8 | 135° |

Nonagon | 9 | 140° |

Any Polygon | n | (n−2) × 180° / n |

## What is the sum of measures of the interior angles of an octagon?

If we are given a convex polygon with n sides and S is the sum of the measures of the interior angles then S = 180(n – 2). Find the sum of the measures of the interior angles in an octagon. Hence the sum of the measures of the interior angles in an octagon is 1080°.

## What is the measure of each interior angle?

The sum of all of the interior angles can be found using the formula S = (n – 2)*180. It is also possible to calculate the measure of each angle if the polygon is regular by dividing the sum by the number of sides.

## What is the measure of each interior angle of a regular 20 Gon?

The measure of each interior angle of a regular 20-gon is 162°. Since our polygon is regular, and it has 20 sides, we can use our formula for the

## What is the measure of the supplementary angle of an interior angle?

Supplementary angles have a sum of 180. So the angles supplementary to each of these interior angles are 90 degrees .

## How do you figure out an octagon?

Since there are as many of these triangles as the polygon has sides (eight for an octagon ), you have to multiply the area of this triangle by the number of sides. You will obtain the total area of the octagon : area of octagon = 8 * base * height / 2 = perimeter * apothem / 2 .

## What is the sum of the interior angle of a triangle?

180°

## What is the sum of the measure of the interior angles of a 25 Gon?

Explanation : Sum of the measures of all the exterior angles of any polygon , irrespective of its number of sides is always 360∘ .

## What is the sum of the measures of the interior angles of an octagon quizlet?

The sum of the measures of the interior angles of a polygon is 1080°.

## What is the measure of each interior angle of a regular hexagon?

To find the measure of the interior angles, we know that the sum of all the angles is 720 degrees (from above) And there are six angles So, the measure of the interior angle of a regular hexagon is 120 degrees .

## What is the measure of the interior angles of a pentagon?

108°

## What is the sum of the interior angles of a 29 sided polygon?

(n-2)x 180 degrees : The formula for finding the sum of all angles in a polygon (REGULAR). Here “n” represents the number of sides of the polygon .

## What is the sum of the measures of the interior angles of a 16 Gon?

Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘ .

## What is the sum of the interior angle of a 20 sided polygon?

When you divide a polygon into triangles, the number of triangles is always 2 less than the number of sides . This means that all of the interior angles of any 20 – sided polygon add up to 3240°.