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This shape has 23 sides. Step 2: Evaluate the formula for n = 23. A polygon with 23 sides has a total of 3780 degrees. total interior angles = (n – 2)180°, where n is the number of sides.

In geometry, an icosagon or 20-gon is a twenty-sided polygon. The sum of any icosagon’s interior angles is 3240 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.

Each exterior angle of a regular polygon is 22.5 degrees. How many sides does the shape have? 360 degrees (around the shape) divided by 22.5 degrees = 16. So the shape has 16 sides.

To find the sum of interior angles of a polygon, multiply the number of triangles in the polygon by 180°. The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All the interior angles in a regular polygon are equal.

Regular Polygons

Sides | Name | Interior Angles |
---|---|---|

17 | Heptdecagon | 158.82° |

18 | Octdecagon | 160.00° |

19 | Enneadecagon | 161.05° |

20 | Icosagon | 162.00° |

That’s the same as 2 times 180, which is why Mark took two from the N and THEN multiplied by 180. So: you can just remember N triangles minus circle, or sides minus 2 times 180. It makes a lot more sense with a polished drawing (25 – 2)180° =?

sum = 4860 degrees Hope this answers the question.

The sum of the exterior angle measures of a convex polygon, one angle at each vertex, is 360. Example 1: Find the sum of the measures of the exterior angles, one at each vertex, of a convex 27 – gon. For any convex polygon, the sum of the measures of its exterior angles, one at each vertex, is 360.

In geometry, a decagon (from the Greek δέκα déka and γωνία gonía, “ten angles”) is a ten-sided polygon or 10-gon. The total sum of the interior angles of a simple decagon is 1440°.

So if we know that a pentagon adds up to 540 degrees, we can figure out how many degrees any sided polygon adds up to. Hexagon has 6, so we take 540+180=720. A heptagon has 7 sides, so we take the hexagon’s sum of interior angles and add 180 to it getting us, 720+180=900 degrees.

1 Answer. Alvin L. The interior angle of a regular 21 – gon is around 162.86∘.

That a pentadecagon is a 15 sided and 15 angles polygon and its interior angles sum equals 2340 degrees.

In geometry, a triacontadigon (or triacontakaidigon) or 32 – gon is a thirty-two- sided polygon. In Greek, the prefix triaconta- means 30 and di- means 2. The sum of any triacontadigon’s interior angles is 5400 degrees.

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