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This means that all of the interior angles of any 20 – sided polygon add up to 3240°.

When a polygon is a n-sided regular polygon, meaning it has n sides, its sides have the same length, and its angles have the same measure, we have that the measure of one interior angle is given by the formula 180−360n 180 − 360 n.

The sum of the interior angles of a regular n-gon is given by the formula (n-2)180. Hence, in our case n= 20 and we have the answer of 18(180)=3240 degrees.

Thus, the sum of the exterior angles will be 360°. So, for a regular 20 – gon, each exterior angle is 360°/ 20 = 18°.

Question 522985: Find the sum of the interior angles of a polygon with 29 sides. sum of interior angle = (4860/ 29 ) x 29 = 4860.

The General Rule

Shape | Sides | Sum of Interior Angles |
---|---|---|

Quadrilateral | 4 | 360° |

Pentagon | 5 | 540° |

Hexagon | 6 | 720° |

Heptagon (or Septagon) | 7 | 900° |

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° =?

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 an enneadecagon or enneakaidecagon or 19 -gon is a nineteen – sided polygon.

ANSWER: 19. SOLUTION: The sum of the interior angle measures is or 540.

Find the sum of the interior angles of a 22-gon. Since the polygon has 22 sides, we can substitute this number for n: (n 2)180˚= (22 2)180˚= 20180˚= 3600˚. Each angle of a regular polygon measures 157.5˚.

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.

Hence sum of interior angles of a convex 16-sided polygon would be 180∘×(16−2)=180∘×14=2520∘.

Oh yes, I said ANY, even a 1002-side polygon (1002-gon) which has a sum of measures of 180,000 degrees.

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