Table of Contents
- 1 How many sides does a polygon have with an interior angle of 30?
- 2 How many sides does a polygon have if each of its exterior angles measures 9 degrees?
- 3 What polygon has 40 sides?
- 4 How many sides does a pentagon have?
- 5 What is a 100 sided shape called?
- 6 How many sides does a regular polygon have?
- 7 How to calculate the interior angles of a pentagon?
How many sides does a polygon have with an interior angle of 30?
12
As it is a regular polygon, all exterior angles are equal and are 30o . Hence number of sides of the polygon is 360o30o=12 .
What polygon has an interior angle of 30 degrees?
triacontagon
In geometry, a triacontagon or 30-gon is a thirty-sided polygon….Triacontagon.
| Regular triacontagon | |
|---|---|
| Symmetry group | Dihedral (D30), order 2×30 |
| Internal angle (degrees) | 168° |
| Dual polygon | Self |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
How many sides does a polygon have if each of its exterior angles measures 9 degrees?
9 sides
Since the angle measure given iin the questions s 40o , take 360o40o = 9. Meaning there are 9 exterior angles and therefore 9 sides to the polygon.
How many sides does a polygon have if each of its interior angles measures 140 degrees?
9
What is the name of a polygon whose interior angles are each 140°? Subtract both sides by 180°n. = 9. Therefore, the number of sides is 9 (nonagon).
What polygon has 40 sides?
Regular tetracontagon
In geometry, a tetracontagon or tessaracontagon is a forty-sided polygon or 40-gon….Tetracontagon.
| Regular tetracontagon | |
|---|---|
| A regular tetracontagon | |
| Type | Regular polygon |
| Edges and vertices | 40 |
| Schläfli symbol | {40}, t{20}, tt{10}, ttt{5} |
How many sides does the polygon have?
Other Types of Polygons
| Polygon | Number of Sides |
|---|---|
| Quadrilateral | 4 |
| Pentagon | 5 |
| Hexagon | 6 |
| Heptagon | 7 |
How many sides does a pentagon have?
5
Pentagon/Number of edges
Answer- The Pentagon has 5 (five) sides. A pentagon is a five-sided polygon also known as 5-gon in geometry. 540° is the sum of internal angles of a simple pentagon. A self-intersecting pentagon is called a pentagram.
How many sides does a polygon have if the sum of its interior angle is 2340o?
15 sides
If the sum of the measures of the interior angles of a polygon is 2340°, how many sides does the polygon have? Use the equation “sum of interior angles = (n – 2)180º ” to write an equation and solve for n. The solution is shown at right. Since n = 15, the polygon has 15 sides.
What is a 100 sided shape called?
hectogon
In geometry, a hectogon or hecatontagon or 100-gon is a hundred-sided polygon. The sum of all hectogon’s interior angles are 17640 degrees.
What is a polygon with 50 sides called?
In geometry, a pentacontagon or pentecontagon or 50-gon is a fifty-sided polygon. The sum of any pentacontagon’s interior angles is 8640 degrees. A regular pentacontagon is represented by Schläfli symbol {50} and can be constructed as a quasiregular truncated icosipentagon, t{25}, which alternates two types of edges.
How many sides does a regular polygon have?
Answer: Maths keeps one mentally active. A regular polygon with the interior angle = 179 will have each of its exterior angles as 180–179 = 1 deg. Such a polygon will have 360/1 = 360 sides which is the maximum number of sides in a regular polygon that you can expect.
How are exterior angles and interior angles of a polygon related?
Exterior Angles 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.
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°
Is the sum of interior angles always the same?
The Sum of interior angles of a polygon is always a constant value. If the polygon is regular or irregular, the sum of its interior angles remains the same. Therefore, the sum of the interior angles of the polygon is given by the formula: As we know, there are different types of polygons.