Table of Contents
- 1 What is the measure of an exterior angle in a regular polygon with 70 sides?
- 2 What is the interior angle of a polygon with 72 sides?
- 3 How do you find the measure of an exterior angle of a regular polygon?
- 4 What is the angle of Measure 7?
- 5 How to calculate the interior angle of a polygon?
- 6 What are the dimensions of a regular polygon?
What is the measure of an exterior angle in a regular polygon with 70 sides?
An exterior angle of a regular n-gon (a polygon with n sides) has a measure of 360/n. This means the measurement of an exterior angle of a regular polygon must be a factor of 360. So it is not possible that the measure of an exterior angle of a regular polygon is 70.
What is the interior angle of a polygon with 72 sides?
The answer is 180° – 72° = 108°.
What is the measure of an interior angle with 60 sides?
174°
Hexacontagon
| Regular hexacontagon | |
|---|---|
| Symmetry group | Dihedral (D60), order 2×60 |
| Internal angle (degrees) | 174° |
| Dual polygon | Self |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
How do you find the interior and exterior angles of a polygon?
The formula for calculating the size of an interior angle is: interior angle of a polygon = sum of interior angles ÷ number of sides. 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 find the measure of an exterior angle of a regular polygon?
The measure of each exterior angle of a regular polygon is given by; The measure of each exterior angle =360°/n, where n = number of sides of a polygon. One important property about a regular polygon’s exterior angles is that the sum of the measures of the exterior angles of a polygon is always 360°.
What is the angle of Measure 7?
Angle 7 = 115 degrees.
What do you call a shape with 72 sides?
Heptacontagon
| Regular heptacontagon | |
|---|---|
| Symmetry group | Dihedral (D70), order 2×70 |
| Internal angle (degrees) | ≈174.857° |
| Dual polygon | Self |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
What is a 70 sided shape called?
Regular heptacontagon
Heptacontagon
| Regular heptacontagon | |
|---|---|
| Type | Regular polygon |
| Edges and vertices | 70 |
| Schläfli symbol | {70}, t{35} |
| Coxeter diagram |
How to calculate the interior angle of a polygon?
Interior Angle Example. 1 First, determine the number of sides. Count the total number of sides of the polygon you are looking at. For example, a square would have 4 sides and 2 Next, calculate the sum. Determine the total sum of the interior angles using the formula A = (n-2)*180. For example, for a pentagon this would equal
What are the dimensions of a regular polygon?
Regular Polygons Polygon No. of Sides Sum of Interior Angles Measure of Interior Angle Triangle 3 1800 600 Quadrilateral 4 3600 900 Pentagon 5 5400 1080 Hexagon 6 7200 1200
How to calculate the interior angles of a pentagon?
For a regular pentagon, each angle will be equal to: 540°/5 = 108° 108°+108°+108°+108°+108° = 540° Sum of Interior angles of a Polygon = (Number of triangles formed in the polygon) x 180°
How to calculate the sum of interior angles?
Enter the total number of sides of any polygon into the calculator to determine the sum of the interior angles. The following formula can be used to calculate the sum of interior angles of any polygon. An interior angle is a measure of the sum of all interior angles of a polygon.