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

The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180). Thus, to find the measure of each interior angle we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144.

## What is the sum of interior angles of a 12 sided polygon?

Using the same methods as for hexagons to the right (I’ll let you do the pictures) So, the sum of the interior angles of a dodecagon is 1800 degrees .

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

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

## What is the sum of the interior angles of a 18 sided polygon?

Regular Polygons

Sides Name Interior Angles
18 Octdecagon 160.00°
20 Icosagon 162.00°
30 Triacontagon 168.00°

900°

1800°

## How many sides does a polygon have if the sum of the interior angles is 1800?

The sum of the interior angles, in degrees, of a regular polygon is given by the formula 180 (n – 2), where n is the number of sides. The problem concerns a polygon with twelve sides , so we will let n = 12. The sum of the interior angles in this polygon would be 180 (12 – 2) = 180 (10) = 1800.

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## What is the sum of the interior angles of a 25 sided polygon?

The sum of any pentacontagon’s interior angles is 8640 degrees .

1260°

## What is the sum of all interior angles?

To find the measure of the interior angles , we know that the sum of all the angles is 360 degrees (from above)

180°

720°

## 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 interior angles of a 17 sided polygon?

The sum of the interior angles of a 17 – sided convex polygon is 2700°, and the sum of the exterior angles is 360°.

## How many sides does a polygon have if the sum of its interior angles is 1620?

Using the same methods as for hexagons to the right (I’ll let you do the pictures) So, the sum of the interior angles of an 11-gon is 1620 degrees.

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