Table of Contents

- 1 What polygon has the measure of its interior angles is half the measure of its exterior angles?
- 2 In which polygon sum of exterior angle is equal to sum of interior angle?
- 3 What is the sum of all exterior angles on a polygon?
- 4 What is the sum of interior and exterior of a polygon?
- 5 What is the sum of the exterior angle of a pentagon?
- 6 What is the sum of exterior angles of a pentagon answer?
- 7 How do you find the sum of exterior angles?
- 8 How do you calculate interior angles of a polygon?
- 9 What do the interior angles of a regular polygon add up to?
- 10 What are the exterior angles of a 18 sided polygon?

## What polygon has the measure of its interior angles is half the measure of its exterior angles?

hexagon

The polygon is a hexagon.

## In which polygon sum of exterior angle is equal to sum of interior angle?

We know that, the sum of exterior angles of a polygon is 360° and in a quadrilateral, sum of interior angles is also 360°. Therefore, a quadrilateral is a polygon in which the sum of both interior and exterior angles are equal.

**How many sides has a polygon if the exterior angle of a polygon is one third of the interior angle?**

∴ the regular polygon has 8 sides.

### What is the sum of all exterior angles on a polygon?

360 degrees

Sal demonstrates how the the sum of the exterior angles of a convex polygon is 360 degrees.

### What is the sum of interior and exterior of a polygon?

Calculating the exterior angles of regular polygons Remember the interior and exterior angle add up to 180°.

**Which regular polygon has its interior and exterior angle equal?**

A regular polygon has equal exterior angles of 72°. (a) Calculate the size of each interior angle in the regular polygon. We do this by subtracting the exterior angle of 72° from 180°. The answer is 180° – 72° = 108°….Question 2.

(a) a regular decagon | exterior = ° |
---|---|

(b) a regular pentagon | exterior = ° |

interior = ° |

#### What is the sum of the exterior angle of a pentagon?

360°

This means: Sum of exterior angles = 180n – 180(n-2) = 180n – 180n + 360. Hence, the sum of exterior angles of a pentagon equals 360°.

#### What is the sum of exterior angles of a pentagon answer?

The exteriors angles of a pentagon are (m + 5)°, (2m + 3)°, (3m + 2)°, (4m + 1)° and (5m + 4)° respectively. Find the measure of each angle. Hints: The sum of all exterior angles of a polygon is 360°.

**How many sides does a regular polygon have if the exterior angle is 45?**

8

Explanation: Sum of exterior angle of any polygon is 360o . As each exterior angle is 45o , number of angles or sides of the polygon is 360o45o=8 .

## How do you find the sum of exterior angles?

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 do you calculate interior angles of a polygon?

Note down the number of sides “n.”

**Are each of the interior angles of a polygon equal?**

Each of the interior angles in a polygon are equal in measure. Sometimes. This happens in the case of regular polygons. In a right triangle, the acute angles measure x+15 and 2x degrees. What is the measure of the larger acute angle of the triangle?

### What do the interior angles of a regular polygon add up to?

The interior angles of any polygon always add up to a constant value, which depends only on the number of sides. For example the interior angles of a pentagon always add up to 540° no matter if it regular or irregular, convex or concave, or what size and shape it is. The sum of the interior angles of a polygon is given by the formula: where.

### What are the exterior angles of a 18 sided polygon?

So you can find the size of the exterior angles of a regular polygon quite easily: If there are 18 sides (n=18), then each exterior angle is: 360°n=360°18=20°. The sum of the exterior and interior angles is 180° because they are adjacent angles on a straight line.