## What is the sum of the measures of the interior angles of a decagon 10 sided polygon?

In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, ” ten angles “) is a ten – sided polygon or 10 -gon. The total sum of the interior angles of a simple decagon is 1440°.

## What is the sum of the measures of the interior angles of a dodecagon explain your answer?

To find the sum of the interior angles of a dodecagon, divide it up into triangles. and we get ten triangles. Because the sum of the angles of each triangle is 180 degrees , multiply 10 into 180 and we get 1800 degrees . So, the sum of the interior angles of a dodecagon is 1800 degrees .

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

The formula for finding the sum of the measure of the interior angles is (n – 2) * 180. To find the measure of one interior angle , we take that formula and divide by the number of sides n: (n – 2) * 180 / n.

## What is the measure of each exterior angle in a regular decagon?

Properties of regular decagons

Interior angle 144°
Exterior Angle 36°
Area 7.694s2 approx

## What is the sum of the measures of the interior angles of a hexagon?

= 720° Multiply. The sum of the measures of the interior angles of a hexagon is 720°. Use the Polygon Interior Angles Theorem to write an equation involving the number of sides n. The solve the equation to find the number of sides.

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## What is the sum of the measures of the interior angles of a Heptagon?

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 .

## 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°

## What is the sum of the measures of the interior angles of a 19 Gon?

Regular Polygons

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

## What is the sum of the measures of the interior angles of a 5 sided convex polygon?

The General Rule

Shape Sides Sum of Interior Angles
Pentagon 5 540°
Hexagon 6 720°
Heptagon (or Septagon) 7 900°

## 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°

1260°

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

In geometry, an icosagon or 20-gon is a twenty-sided polygon . The sum of any icosagon’s interior angles is 3240 degrees.

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## What is the sum of the measures of the exterior angles of a regular 30 Gon?

In geometry, a triacontagon or 30-gon is a thirty-sided polygon. The sum of any triacontagon’s interior angles is 5040 degrees .

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

108°

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