Can a regular polygon have interior angles as 50 degrees?
Table of Contents
- 1 Can a regular polygon have interior angles as 50 degrees?
- 2 What polygon has an interior angle of 50?
- 3 Can a regular polygon have exterior angles of 55?
- 4 What regular polygon has an interior angle of 135 degrees?
- 5 Is there a 50 degree angle in a regular polygon?
- 6 What are the interior and exterior angles of a polygon?
Can a regular polygon have interior angles as 50 degrees?
N = 360/50 = 7.2 [Number of sides of polygon] 7.2 is not an integer. So, it is not possible to have a regular polygon whose each exterior angle is 50°.
What polygon has an interior angle of 50?
Regular pentacontagon
In geometry, a pentacontagon or pentecontagon or 50-gon is a fifty-sided polygon….Pentacontagon.
| Regular pentacontagon | |
|---|---|
| Symmetry group | Dihedral (D50), order 2×50 |
| Internal angle (degrees) | 172.8° |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
What is the minimum interior angles possible for a regular polygon?
60°
Hence, 60° is the minimum possible value for internal angle of a regular polygon.
Will you be able to draw a regular polygon with each interior angle measuring 50 degree justify your answer?
Since n is not an integer, we cannot have a polygon with each exterior angle equal to 50°.
Can a regular polygon have exterior angles of 55?
Step-by-step explanation: It impossible for a interior angle of a regular polygon to equal degrees. The sum of the exterior angles of any polygon is degrees, so the number of sides would be supposedly equal to or . A polygon cannot have sides, so the angle can’t measure degrees.
What regular polygon has an interior angle of 135 degrees?
octagon
Summary: An interior angle of a regular polygon has a measure of 135°, it is an octagon.
How many sides a regular polygon have if each interior angle is 165?
24
Hence the number of sides a regular polygon has if its interior angle is 165 degrees are 24.
What is the sum of all interior angle of a regular pentagon?
Angles in a Pentagon
| General Rule | |
|---|---|
| Sum of Interior Angles of a polygon = | 180 ×(n−2) degrees, where n is number of sides |
| Measure of each of the Angle (in a Regular Polygon) = | 180 degrees ×(n−2) / n, where n is the number of sides/. |
Is there a 50 degree angle in a regular polygon?
No. The sum of the exterior angles for any closed polygon is 360°. If a polygon is regular, all n sides, and n interior or exterior angles must be equal, so the exterior angle must be 360°/n. There is no integer number of sides for which this is 50°, Seven sides is close, but no cigar, 51.42857°.
What are the interior and exterior angles of a polygon?
Exterior angles of a polygon are the angles at the vertices of the polygon, that lie outside the shape. The angles are formed by one side of the polygon and extension of the other side. The sum of an adjacent interior angle and exterior angle for any polygon is equal to 180 degrees since they form a linear pair.
What is the difference between polygons and regular polygons?
The polygons are the closed shape that has sides and vertices. A regular polygon has all its interior angles equal to each other. For example, a square has all its interior angles equal to the right angle or 90 degrees. The interior angles of a polygon are equal to a number of sides. Angles are generally measured using degrees or radians.
How to find the number of sides of a regular polygon?
Therefore, the exterior angle is 36° The formula to find the number of sides of a regular polygon is as follows: Number of Sides of a Regular Polygon = 360° / Magnitude of each exterior angle Therefore, the number of sides = 360° / 36° = 10 sides