How many sides have a polygon if the sum of its interior angles equals the sum of its exterior angles?
How many sides does the polygon have? The sum of the exterior angles of any polygon is 360 deg irrespective of the number of sides. In the present case the sum of the interior angles is twice the sum of the exterior angles or 720 deg, Thus the polygon in the present case has 6 sides and 6 angles whose sum is 720 deg.
What polygon has an interior angle of 156 degrees?
Regular pentadecagon
In geometry, a pentadecagon or pentakaidecagon or 15-gon is a fifteen-sided polygon….Pentadecagon.
| Regular pentadecagon | |
|---|---|
| Internal angle (degrees) | 156° |
| Properties | Convex, cyclic, equilateral, isogonal, isotoxal |
What is the sum of the interior angles for a 24 24 sided polygon?
3960 degrees
In geometry, an icositetragon (or icosikaitetragon) or 24-gon is a twenty-four-sided polygon. The sum of any icositetragon’s interior angles is 3960 degrees.
What is the number of sides of a regular polygon with each exterior angle of Measure 20 degree?
Each exterior angle of a regular polygon = 20 deg. So the polygon has 360/20 = 18 sides.
How many sides does a regular polygon 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.
How many sides does a regular polygon have if the interior angle is 160?
If the interior angle of a regular polygon is 160 degrees, then the exterior angle is 20 degrees. The sum of all exterior angles is 360 degrees so there must be 360/20 sides = 18 sides.
How many sides does a polygon have with an interior angle of 1080?
8 sides
The polygon with an interior angle sum of 1080° is an octagon, or a polygon with 8 sides.
How do you find the interior angle of a regular polygon with 24 sides?
The formula for the sum of the interior angles of a polygon is (n−2)⋅180 , where n is the number of sides. For a 24 -gon, n=24 . (24−2)⋅180=3960 .
What is the number of sides in a regular polygon?
Names of Regular Polygons
| Regular Polygon | Number of Sides | Exterior Angles |
|---|---|---|
| Equilateral triangle | 3 sides | 3 exterior angles of 120° |
| Square | 4 sides | 4 exterior angles of 90° |
| Regular pentagon | 5 sides | 5 exterior angles of 72° |
| Regular hexagon | 6 sides | 6 exterior angles of 60° |
What is the sum of Interior and exterior angles of Polygon?
Number of sides of polygon is 24 and if polygon is regular, size of each exterior angle is 15∘ A polygon has as many pairs of interior and exterior as number of its sides. Further each pair of exterior and interior add up to 180∘. Sum of all the exterior angles of any polygon is 360∘ As sum of all the interior angles of the polygon is 3960∘
How do you calculate the number of sides of a polygon?
The number of sides of a regular polygon can be calculated by using the interior and exterior angles, which are, respectively, the inside and outside angles created by the connecting sides of the polygon. Subtract the interior angle from 180. For example, if the interior angle was 165, subtracting it from 180 would yield 15.
What is the number of sides of a regular pentagon?
Total inside angles of all the triangles are n×180° .This total angles includs sum of all interior angles of the polygon and angle 360° arround the inside point . 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. Hence it is a regular pentagon.
How many sides does a regular polygon have with 144 angles?
If one angle of a regular polygon is 144, how many sides does it have? First, if one angle is 144, then all are 144, as we are dealing with a regular polygon. Next, are we talking interior or exterior angles?