# What does one angle equal in a pentagon?

## What does one angle equal in a pentagon?

The sum of all the interior angles of any regular pentagon equals 540° and the sum of all the exterior angles of any regular pentagon equals 360°. Each exterior angle of a regular pentagon is equal to 72° and each interior angle of a regular pentagon is equal to 108°.

Does polygon have equal angles?

A regular polygon has equal length sides with equal angles between each side. Any other polygon is an irregular polygon, which by definition has unequal length sides and unequal angles between sides. Circles and shapes that include curves are not polygons – a polygon, by definition, is made up of straight lines.

How many angles are there in pentagon?

Pentagon
An equilateral pentagon, i.e. a pentagon whose five sides all have the same length
Edges and vertices 5
Internal angle (degrees) 108° (if equiangular, including regular)

### How many angles has a pentagon?

5
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.

Can a pentagon have equal sides but not equal angles?

In geometry, an equilateral pentagon is a polygon in the Euclidean plane with five sides of equal length. In contrast, the regular pentagon is unique, because it is equilateral and moreover it is equiangular (its five angles are equal; the measure is 108 degrees).

What shape has 5 sides and 5 angles?

pentagon
A pentagon is a shape with 5 sides and 5 angles. An octagon is a shape with 8 sides and 8 angles.

#### How do you find the 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.

Which polygons have all equal angles?

In Euclidean geometry, a regular polygon is a polygon that is equiangular (all angles are equal in measure) and equilateral (all sides have the same length).

Does a pentagon have 5 equal sides?

An equilateral pentagon is a polygon with five sides of equal length. However, its five internal angles can take a range of sets of values, thus permitting it to form a family of pentagons.

## Does a pentagon have 5 angles?

A pentagon is a geometrical shape, which has five sides and five angles. Here, “Penta” denotes five and “gon” denotes angle. The pentagon is one of the types of polygons. The sum of all the interior angles for a regular pentagon is 540 degrees.

How many angles does a pentagon have?

What is the sum of interior angles of a pentagon?

The sum of the interior angles of a pentagon is 540 degrees. Each of the five interior angles of a regular pentagon measures 108 degrees.

### What are the interior angles of a pentagon?

The interior of a pentagon has five angles totaling 540 degrees. In a regular pentagon – a polygon with five congruent sides and five congruent angles – each angle is 108 degrees.

How many degrees are in a pentagon?

Pentagon Definition In geometry, a pentagon is a five-sided polygon with five straight sides and five interior angles that sum up to 540° 540 °. A pentagon shape is a plane figure, or flat (two-dimensional) 5-sided geometric shape. Properties of a Pentagon

How do you calculate the area of a regular pentagon?

To calculate the area of a regular pentagon, the perimeter of the polygon is multiplied by the apothem and the result is divided in half. The mathematical formula for the calculation is area = (apothem x perimeter)/2.