## What is the total interior angle of 20-gon?

3240 degrees

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

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

1 Expert Answer The sum of the interior angles of a regular n-gon is given by the formula (n-2)180. Hence, in our case n=20 and we have the answer of 18(180)=3240 degrees.

**What is the sum of one interior angle of a 20-gon?**

The sum of the interior angles of a 20-gon is 3,240°. A 20-gon is a 20-sided regular polygon (all sides and interior angles are equal). The…

**How many diagonals are in a 20-gon?**

170 diagonals

Therefore, for a 20-sided polygon, there will be 190 lines and 170 diagonals.

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

What is the sum of the measures, in degrees, of the interior angles of a 20-sided polygon? All enclosed polygons have an internal angle measure of either 180o for triangles and 360o for polygons of 4 sides or more. The internal angle measure of a triangle no matter the type is 180o

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

Sum of Interior Angles Formula. The formula for the sum of that polygon’s interior angles is refreshingly simple. Let n n equal the number of sides of whatever regular polygon you are studying. Here is the formula: Sum of interior angles = (n − 2) × 180° S u m o f i n t e r i o r a n g l e s = ( n – 2) × 180 °.

**How to find the measure of each angle of a polygon?**

Therefore, we use the sum of the interior angles of a polygon and divide it by the number of sides of the regular polygon to find the measure of each angle. Using this, we have the following formula:

**What is the interior angle measure of a 4 sided polygon?**

The 4 sided polygons (square being the most understood) has an interior angle measure of 4 x 90o or 360o if the sides are of varying length then the polygon has to be plotted and the answer is more complex as the adjacent side lengths have to be taken into account.