What is the sum of exterior angles of a 12 Gon?
360°
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°.
How do you find the exterior angle of a 12 Gon?
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 exterior angle of a 12 sided shape?
30°
Properties of a dodecagon Here are the properties of a 12-sided shape: Each interior angle of a regular dodecagon is equal to 150°. Each exterior angle of a regular dodecagon is equal to 30°.
What’s a 12 sided figure called?
dodecagon
A dodecagon is a 12-sided polygon. Several special types of dodecagons are illustrated above. In particular, a dodecagon with vertices equally spaced around a circle and with all sides the same length is a regular polygon known as a regular dodecagon.
What is a twelve sided circle called?
Regular dodecagon
In geometry, a dodecagon or 12-gon is any twelve-sided polygon….Dodecagon.
| Regular dodecagon | |
|---|---|
| Symmetry group | Dihedral (D12), order 2×12 |
| Internal angle (degrees) | 150° |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
What is a 12 sided figure?
What is the sum of all the exterior angles of a polygon?
Explanation: Sum of all the exterior angles of a polygon is 360o. As interior and exterior angles of regular polygon are all equal. One exterior angle of a regular dodecagonal polygon (12-gon) is 360o 12 = 30o.
What is the sum of all interior angles of a dodecagon?
Sum of all interior angles of N -sided regular polygon equals to (N −2)⋅180o. Therefore, sum of interior angles of 12 -sided polygon is (12−2)⋅180o = 1800o All 12 interior angles of dodecagon are equal, so each is 1800o 12 = 150o A supplementary exterior angle, therefore, equals to 180o−150o = 30o.
How do you find the sum of interior angles in geometry?
Sum of Interior Angles Formula. The formula for the sum of that polygon’s interior angles is refreshingly simple. Let n n equal the number of sides of whatever regular polygon you are studying. Here is the formula: Sum of interior angles = (n − 2) × 180° S u m o f i n t e r i o r a n g l e s = ( n – 2) × 180 °.
What is the measure of each exterior angle corresponding to X°?
In any polygon, the sum of an interior angle and its corresponding exterior angle is 180°. So, the measure of each exterior angle corresponding to x° in the above polygon is 20°. Problem 5 : In a polygon, the measure of each interior angle is (5x+90)° and exterior angle is (3x-6)°.