What is the sum of the exterior angles of a 10?

360°
Answer: The sum of the exterior angles of a decagon is 360°. Let’s understand the solution in detail. Explanation: A 10-sided polygon is called a decagon.

What is the measure of an interior angle of a regular polygon of 10 sides?

The sum of the measures of the interior angles of a decagon (10 sided polygon) is 1,440. We found this by using the formula (n-2)(180). Thus, to find the measure of each interior angle we simply divide the sum by the number of total sides in the polygon. 1,440/10 = 144.

What is the measure of the exterior angle of a regular dodecagon?

30°
Finding Angles and Perimeter of a Regular Dodecagon No matter the shape, a regular polygon can have its exterior angles add to no more than 360°. Think: to go around the shape, you make a complete circle: 360°. So, divide 360° by the dodecagon’s twelve exterior angles. Each exterior angle is 30°.

What is the measure of each exterior angle of a regular polygon of 12 sides?

30
Thus, each exterior angle of a regular polygon of 12 sides = 360o/ 12 = 30.

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.

What is the sum of the exterior angles of a dodecagon *?

The sum of the exterior angles of any polygon is always equal to 360° irrespective of the number of sides. Therefore, even in a dodecagon, the sum of the exterior angles is 360°.

What is the measure of each angle of a regular Nonagon?

140°
Each angle of a regular nonagon is of 140°. A nonagon in which all sides are not equal and all angles are not equal. The measure of its angles are different but total sum of all its interior angles is always 1260°.

How do you find the exterior angle of a polygon?

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 I find the measure of an exterior angle?

To find the measurement of an exterior angle, simply take the corresponding interior angle and subtract it from 180. Since the interior and exterior angle together add up to a straight line, their values should equal 180 degrees.

How do you find the measure of a exterior angle?

The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

What is the outer angle of pentagon?

In the case of a regular pentagon, the interior angle is equal to 108°, and the exterior angle is equal to 72°. An equilateral pentagon has five sides that are equal to each other. The sum of the interior angles of a rectangular pentagon is equal to 540 degrees.

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

Exterior angles of a polygon have several unique properties. The sum of exterior angles in a polygon is always equal to 360 degrees. Therefore, for all equiangular polygons, the measure of one exterior angle is equal to 360 divided by the number of sides in the polygon.

What is the formula for the sum of exterior angles?

Sum of the Exterior Angles. The sum of the exterior angles (in degrees) for any polygon may be derived from the formula: Ó Exterior angles 180° x (n+2) n = number of sides of the polygon. This formula is valid for both regular and irregular polygons.

How to find interior angles?

The sum of interior angles can be found by using the formula 180 (n-2)° where n is the number of sides in a polygon. For example, to find the sum of interior angles of a quadrilateral , we replace n by 4 in the formula. We will get 180 (4-2)°= 360°. What is the Sum of the Interior Angles of a Heptagon?

What is the sum of the exterior angles of?

What are Exterior Angles? They are formed on the outside or exterior of the polygon. The sum of an interior angle and its corresponding exterior angle is always 180 degrees since they lie on the same straight line. In the figure, angles 1, 2, 3, 4 and 5 are the exterior angles of the polygon.