# What are the angles of a 10 sided polygon?

## What are the angles of a 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….Decagon.

Regular decagon
Symmetry group Dihedral (D10), order 2×10
Internal angle (degrees) 144°
Properties Convex, cyclic, equilateral, isogonal, isotoxal

## What is the measure of the exterior angles in a 10 sided polygon?

360°
Since each exterior angle and interior angle form a linear pair, one exterior angle of a decagon = 180 – 144 = 36°. We know that a decagon had 10 exterior angles, so, 10 × 36 = 360°. Hence, it is seen that the sum of the exterior angles of a decagon is 360°.

What’s a 10 sided?

What is a Decagon? A decagon is a polygon that is easily identified by one key trait – it’s a 10 side shape with ten interior angles and ten vertices.

### What is the angle sum of convex polygon with 10 sides?

1440°
Answer: The sum of angles in a convex 10-sided polygon is equal to 1440°. We will use the shape of the decagon to find the sum of angles.

### What is the measure of each exterior angle of a regular pentagon having 10 sides?

360/10=36 Each exterior angle=36 degrees.

What is the sum of angles of a convex polygon with 10 sides?

1,440
The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440.

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

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).

## How do you find the sum of the angles of a polygon with 10 sides?

2. It is 1440°
3. Step-by-step explanation: A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° and they all add up to 1,440°

How do you find the measure of each interior angle of a regular pentagon?

To find the measure of each interior angle of any regular polygon, we use the formula {(n – 2) × 180} / n degrees, where n is the number of sides of the polygon. Now, for a pentagon, n = 5. Hence, using the formula above formula, we get {(5 – 2) × 180} / 5 = 108 degrees.

### What is the measure of each exterior angle of a regular polygon of I 10 sides II 12 sides?

Hence, a regular decagon has each exterior angle 36∘ and each interior angle as 144∘.

### What is the measure of each exterior angle of a regular polygon of 10 sides Class 8?

Measure of each external angle is 24°.