Table of Contents

## Which polygon has a 45 degree exterior angle?

regular octagon

A regular octagon has eight equal sides and eight equal angles. (a) Calculate the size of each exterior angle in the regular octagon. We do this by dividing 360° by the number of sides, which is 8. The answer is 360° ÷ 8 = 45°.

**Is it possible to have a regular polygon with an exterior angle of 45?**

Answer: No it is not possible to have a regular polygon each of whose interior angle is 45°.

**How many sides does a regular polygon have if each of its interior angle is 150 degree?**

12

Its interior angle has measure 150∘. Therefore, the exterior angle has measure 180∘−150∘=30∘. Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.

### How many sides a regular polygon has whose each exterior angle is 450?

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 many sides does a regular polygon have if the measure of an exterior angle is 40 degree?**

9 sides

The exterior angles of any regular polygon must add up to 360o . Since the angle measure given iin the questions s 40o , take 360o40o = 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.

**How many sides does a regular polygon have if the measure of an exterior angle is 24?**

15 sides

How many sides does a regular polygon have if the measure of an exterior angle is 24°? Thus, the regular polygon has 15 sides.

## How many sides does a regular polygon have of each of its interior angles is 165?

24

Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.

**How many sides are there in a regular polygon?**

Names of Regular Polygons

Regular Polygon | Number of Sides | Exterior Angles |
---|---|---|

Equilateral triangle | 3 sides | 3 exterior angles of 120° |

Square | 4 sides | 4 exterior angles of 90° |

Regular pentagon | 5 sides | 5 exterior angles of 72° |

Regular hexagon | 6 sides | 6 exterior angles of 60° |

**How many sides does a regular polygon have if exterior?**

Given that Exterior angle = 24° Let number of sides = n In a regular Polygon Sum of the exterior angles = 360° Exterior Angle × Number of sides = 360° 24° × n = 360° n = 360″°” /24″°” n = 15 ∴ Polygon has 15 sides Ex 3.2 Ex 3.2, 1 Important Ex 3.2, 2 Ex 3.2, 3 You are here Ex 3.2, 4 Important Ex 3.2, 5 Important Ex 3.2, 6 Important

### Which is the measure of the exterior angle regular polygon?

By the Exterior Angle Formula, the sum of the exterior angles in any polygon is 360°. Since the polygon is regular, all the angles are congruent. This is very important: if the polygon was not regular, the exterior angles could be 30°,170°, and 160°!

**Which is the sum of the sides of a polygon?**

If the side of a polygon is extended, the angle formed outside the polygon is the exterior angle. The sum of the exterior angles of a polygon is 360°.

**How to find the sum of interior angles of polygons?**

To find the sum of the interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of the interior angles in a polygon is (({n}~-~ {2})~times~ {180^circ}) where ({n}) is the number of sides. All the interior angles in a regular polygon are equal.