## What is the sum of the measures of interior angles of a regular octagon?

The General Rule

Shape Sides Sum of Interior Angles
Octagon 8 1080°
Nonagon 9 1260°
..
Any Polygon n (n−2) × 180°

## 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°.

900°

## What is the formula for interior angles?

An interior angle is located within the boundary of a polygon. 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.

180°

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

That’s the same as 2 times 180, which is why Mark took two from the N and THEN multiplied by 180. So: you can just remember N triangles minus circle, or sides minus 2 times 180. It makes a lot more sense with a polished drawing (25 – 2)180° = ?

1260°

## What is the sum of the measures of the interior angles of 12 gon?

So, the sum of the interior angles of a dodecagon is 1800 degrees . All sides are the same length (congruent) and all interior angles are the same size (congruent). To find the measure of the angles, we know that the sum of all the angles is 1800 degrees (from above) And there are twelve angles

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## What do angles in a Heptagon add up to?

A heptagon has 7 sides, so we take the hexagon’s sum of interior angles and add 180 to it getting us, 720+180=900 degrees.

## What is the sum of the interior angle measures of a regular decagon?

So, the sum of the interior angles of a decagon is 1440 degrees .

1800°

720°

## How do you find the sum of the interior angles of a dodecagon?

The interior angles of a dodecagon are a bit harder. You can use this generic formula to find the sum of the interior angles for an n-sided polygon (regular or irregular): Sum of interior angles = (n-2) x 180° Sum of interior angles = 10 x 180° = 1800°

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