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

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

72°
Answer: The measure of each exterior angle of a regular pentagon is 72° A regular pentagon has all angles of the same measure and all sides of the same length.

### How do you find the measure of an exterior angle of a pentagon?

The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.

How many exterior angles does a pentagon have?

72
180 degrees ×(n−2) / n, where n is the number of sides/. A regular pentagon has the following properties: Interior angles that measure 108° Exterior angles that measure 72°

How do you find exterior angle?

Exterior angle = sum of two opposite non-adjacent interior angles. Simplify. Subtract 120° from both sides.

## How do you find exterior angles?

To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.

### What is the angle of a regular pentagon?

108°
The sum of the internal angles in a simple pentagon is 540°. A pentagon may be simple or self-intersecting….Regular pentagons.

Regular pentagon
Internal angle (degrees) 108°
Dual polygon Self
Properties Convex, cyclic, equilateral, isogonal, isotoxal

How many degrees are in a regular pentagon?

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

Which expression finds the measure of each exterior angle of a regular pentagon with n number of sides?

You can find a measure of an exterior angle of a regular polygon with N sides. It is equal to 360oN .

## How do you find the measure of each exterior angle in a regular polygon?

The measure of each exterior angle of a regular polygon is given by; The measure of each exterior angle =360°/n, where n = number of sides of a polygon. One important property about a regular polygon’s exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.

### How do you find the measure of an exterior angle of a regular polygon?

How do you find the missing exterior angles of a polygon?

The sum of the exterior angles of a polygon is 360°, regardless of the number of sides, if it is regular, or equiangular. So, given the other exterior angles, it is possible to find a missing exterior angle of a polygon. Simply add up the given exterior angles and subtract it from 360°.

What is the sum of the interior angles of a pentagon?

The sum of interior angles in a pentagon is 540° . A hexagon (six-sided polygon) can be divided into four triangles. The sum of its angles will be 180° × 4 = 720°

## What is the sum of all exterior angles?

The sum of the exterior angles is always 360 degrees.

### What is the sum of the exterior angles of a regular polygon?

The sum of the exterior angles of a regular polygon will always equal 360 degrees. To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has.

How do you find the exterior angle of a polygon?

To find the value of a given exterior angle of a regular polygon, simply divide 360 by the number of sides or angles that the polygon has. For example, an eight-sided regular polygon, an octagon, has exterior angles that are 45 degrees each, because 360/8 = 45.