How many sides does a regular polygon have if its interior angle is 150?
Table of Contents
- 1 How many sides does a regular polygon have if its interior angle is 150?
- 2 What polygon has interior angles of 150?
- 3 How do you find the exterior angles of a polygon?
- 4 How many sides does a regular polygon have if the measure of an exterior angle is 12 degree?
- 5 What is the interior angle of a polygon with 6 sides?
- 6 What is exterior angle of a regular polygon?
- 7 What is the difference between interior and exterior angles at vertex?
- 8 How many sides does a regular polygon have?
How many sides does a regular polygon have if its interior angle is 150?
12
Therefore, the number of sides of the regular polygon with interior angle 150∘ is 12.
What polygon has interior angles of 150?
Regular dodecagon
Dodecagon
| Regular dodecagon | |
|---|---|
| Coxeter–Dynkin diagrams | |
| Symmetry group | Dihedral (D12), order 2×12 |
| Internal angle (degrees) | 150° |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
How many sides does a polygon have with an exterior angle of 150?
12 sides
If each angle of a regular polygon measures 150°, then the polygon has 12 sides.
How many sides does a polygon have if the difference between its interior and exterior angle of the polygon is 180?
Each interior angle of the polygon is 108 degrees, so each exterior angle of the polygon is 180-108 = 72 degrees. So the number of sides is 360/72 = 5.
How do you find the exterior angles 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 many sides does a regular polygon have if the measure of an exterior angle is 12 degree?
So, a regular polygon with an exterior angle measure of 12 degrees has 30 sides.
Is it possible to have a regular polygon each of whose interior angle is 150 Justify your answer?
It impossible for a interior angle of a regular polygon to equal degrees. … A polygon cannot have sides, so the angle can’t measure degrees.
How many sides does the polygon have interior angles?
There is one per vertex. So for a polygon with N sides, there are N vertices and N interior angles….Sum of Interior Angles.
| A square | Has 4 sides, so interior angles add up to 360° |
|---|---|
| A pentagon | Has 5 sides, so interior angles add up to 540° |
What is the interior angle of a polygon with 6 sides?
720°
Sum of Interior Angles of a Polygon
| Polygon Name | Number of Interior Angles | Sum of Interior Angles = (n-2) x 180° |
|---|---|---|
| Quadrilateral | 4 | 360° |
| Pentagon | 5 | 540° |
| Hexagon | 6 | 720° |
| Septagon | 7 | 900° |
What is exterior angle of a regular polygon?
All the interior angles in a regular polygon are equal. 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.
What is the difference between interior and exterior angles of Polygon?
The difference between the interior and exterior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is – Competoid.com The difference between the interior and exterior angles at a vertex of a regular polygon is 150°.
How many angles does a 150 degree polygon have?
A regular polygon has angles of size 150 degrees each. How many sides has the polygon? The sum of the interior angles of a regular polygon is given by: Where n is the number of sides. If the sum of interior angles is S, then each angle is: We are given 150∘ for each angles. So, The polygon has 12 sides.
What is the difference between interior and exterior angles at vertex?
The difference between the interior and exterior angles at a vertex of a regular polygon is 150°. The number of sides of the polygon is – Competoid.com
How many sides does a regular polygon have?
The sum of the interior angles of a regular polygon is given by: Where n is the number of sides. If the sum of interior angles is S, then each angle is: We are given 150∘ for each angles. So, The polygon has 12 sides.