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# What is the sum of interior angles of a polygon of 10 sides?

## What is the sum of interior angles of a polygon of 10 sides?

1,440
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).

## What is the interior angle of a regular 10 Gon?

144°
Decagon/Internal angle

What is the sum of all outer angles of a regular polygon with 10 sides?

Answer: The sum of the exterior angles of a decagon is 360°. Let’s understand the solution in detail. Explanation: A 10-sided polygon is called a decagon.

What is the sum of the interior angles of a polygon if it has 15 sides?

2340 degrees
Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees.

### What is the interior angle sum of a polygon with 11 sides?

1620 degrees
So, the sum of the interior angles of an 11-gon is 1620 degrees.

### What will be the sum of interior angles of a polygon of 12 sides?

1800°
Dodecagon is a 12-sided polygon with 12 angles and 12 vertices. The sum of the interior angles of a dodecagon is 1800°.

How do you calculate interior angles of a polygon?

Method 1 of 2: Calculating Interior Angles in a Polygon Count the number of sides in the polygon. In order to calculate the interior angles of a polygon, you need to first determine how many sides the polygon has. Find the total measure of all of the interior angles in the polygon. Divide the total measure of all of a regular polygon’s angles by the number of its angles.

What are the exterior angles of a polygon equal to?

In a polygon, an exterior angle is formed by a side and an extension of an adjacent side. Exterior angles of a polygon have several unique properties. The sum of exterior angles in a polygon is always equal to 360 degrees.

#### What is the sum for exterior angles for any polygon?

Exterior angles of a polygon are formed when by one of its side and extending the other side. The sum of all the exterior angles in a polygon is equal to 360 degrees. You are already aware of the term polygon. A polygon is a flat figure that is made up of three or more line segments and is enclosed.

#### Are the interior angles in a polygon equal in measure?

Interior angles of a regular polygon are equal in measure . The magnitude of an angle can be determined by the number of sides of the polygon. When the measure of one interior angle of a regular polygon is determined, it can be multiplied by the number of sides of the polygon to find the sum of the interior angles of the polygon.