# What is the measure of an interior angle of a regular polygon with sides?

## What is the measure of an interior angle of a regular polygon with sides?

A regular polygon is a flat shape whose sides are all equal and whose angles are all equal. 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 interior angle of a sided polygon?

The sum of the interior angles in a regular polygon is given by the formula 180(n – 2), where n is the number of sides in the polygon. An octagon has eight sides, so the sum of the angles of the octagon is 180(8 – 2) = 180(6) = 1080 degrees. Because the octagon is regular, all of its sides and angles are congruent.

What is the interior angle of a polygon with 4 sides?

The internal angles of all quadrilaterals add up to 360°. Square: Four sides of equal length, four internal right angles. Rectangle: Four internal right angles, opposite sides of equal length.

### How do you find the interior angles of a polygon?

In order to find the value of the interior angle of a regular polygon, the equation is (n−2)180∘n where n is the number of sides of the regular polygon.

### What is the interior angle of a regular polygon with 20 sides?

162°
Icosagon

Regular icosagon
Symmetry group Dihedral (D20), order 2×20
Internal angle (degrees) 162°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

What is the sum of all interior angle of a regular pentagon?

Angles in a Pentagon

General Rule
Sum of Interior Angles of a polygon = 180 ×(n−2) degrees, where n is number of sides
Measure of each of the Angle (in a Regular Polygon) = 180 degrees ×(n−2) / n, where n is the number of sides/.

#### Can it be an interior angle of a regular polygon?

Regular polygon has all interior angles equal. Let number of sides and number of interior angles be n.

#### How many interior angles does a pentagon have?

5 interior angles
There are 5 interior angles in a pentagon. Divide the total possible angle by 5 to determine the value of one interior angle. Each interior angle of a pentagon is 108 degrees.

What is a polygon with 4 sides?

Definition: A quadrilateral is a polygon with 4 sides. Definition: A parallelogram is a quadrilateral where both pairs of opposite sides are parallel.

## What is each interior angle of a regular pentagon?

108 degrees
The measure of one interior angle of a regular pentagon is 108 degrees.

## 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 interior angle of a polygon with 15 sides?

156°