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Regular tetracontagon

Symmetry group dihedral (D40), order 2×40

Interior angle (degrees) 171°

Dual Polygon Self

Properties Convex, cyclic, equilateral, isogonal, isotoxal

5 baris lainnya•11 May 2022

Tetracontagon – HandWiki

https://handwiki.org › wiki › Tetracontagon

Contents

- What is the measure of one exterior angle of a 40 Gon?
- What is the measure of 1 interior angle?
- What is a 40 sided polygon?
- How many sides does a 40 gon have?
- Why cant a regular polygon have an interior angle that is 40?
- How many sides does a regular polygon have if each of its exterior angles measure 40?
- What is the measure of 1?
- What is the measure of one interior angle of a regular 20 Gon?
- What is the measure of one interior angle of a regular 12 Gon?
- What is a 40 sided 3d shape?
- What is a 1 trillion sided shape called?
- What is the interior angle of a regular polygon with 45 sides?
- How do you find the interior angles of a polygon?
- What is the interior angle of a 20 sided polygon?
- What is the sum of the measure of the interior angles of a triangle?
- Can 21 be an interior angle of a regular polygon?
- What is the measure of an interior angle of a regular 9 Gon?
- What’s a 4 sided shape called?
- What is the number of sides of a regular polygon if the measure of one exterior angle is 36?

Exterior angles (in a regular polygon) add up to **360°**. So you would do 360/40 to get an answer of 9.

**A tetracontagon or 40-corner** is a shape with 40 sides and 40 corners. Regular tetracontagon. A normal tetracontagon. Type. Regular polygon.

The exterior angles of each regular polygon must add up to 360o. Since the angular measure given in the questions is 40o, take 360o40o = 9. That means there are 9 exterior angles and thus **9 sides** of the polygon.

Explanation. **Since we can only have whole numbers for the side number**, an interior angle of 40° 40\text{\textdegree} 40° of a regular polygon is not possible.

∴ The regular polygon has **9 sides** if each exterior angle is 40°.

A measure of one degree ( 1° ) corresponds to **one revolution of 1360 one complete revolution**. To measure angles it is convenient to mark degrees on the circumference of a circle.

To find the measure of an angle, divide the sum by 20. 3240 20 = 162 The measure of an interior angle in a regular 20-gon is **162°**.

Each interior angle of a regular dodecagon is equal to **150°**. Each exterior angle of a regular dodecagon is equal to 30°.

The sum of the measurements of the interior angles of a 45-gon is 43(180) = 7740, so each interior angle of a regular 45-gon would be **7740/45 = 172**. The sum of the measurements of a polygon is 360 degrees, so the measurement of each interior angle of a regular 45-gon would be 360/45 = 8.

The formula for calculating the sum of interior angles is ( n − 2 ) × 180 ∘ where is the number of sides. All interior angles in a regular polygon are equal. The formula for calculating the size of an interior angle is: **Interior angle of a polygon = sum of interior angles ÷ number of sides**.

Learn the formal proof that shows that the measurements of the interior angles of a triangle add up to **180°**.

The interior angle of a regular 21-gon is **approximately 162.86∘** .

To find the value of an interior angle within this polygon, we can simply multiply the number of triangles by 180° and then divide by the number of interior angles, which is nine. Excellent! So the interior angle of a 9-sided polygon is **140°** .

Definition: **A quadrilateral** is a polygon with 4 sides. A diagonal of a quadrilateral is a segment whose endpoints are opposite vertices of the quadrilateral. In the picture below, ABCD is a quadrilateral, AC, BD are the two diagonals. We name a quadrilateral by naming the four vertices in sequential order.

Since the polygon has **10 sides**, it must be a decagon.

- https://math.stackexchange.com/questions/1491230/the-exterior-angle-of-a-regular-polygon-is-40-degrees-how-many-sides-does-it
- https://www.youtube.com/watch?v=FXX4y-O1DGk
- https://simple.wikipedia.org/wiki/Tetracontagon
- https://socratic.org/questions/how-many-sides-are-in-a-regular-polygon-that-has-exterior-angles-of-40
- https://quizlet.com/explanations/questions/explain-why-a-regular-polygon-cannot-95d5629f-e551-4905-9ff5-2b0cd21a474d
- https://testbook.com/question-answer/find-the-number-of-sides-of-a-regular-polygon-whos–607bf117266c994af990af76
- https://www.varsitytutors.com/hotmath/hotmath_help/topics/degree-measure-of-an-angle
- https://www.wesleyschool.org/uploaded/faculty/Mrs_Fernandes/polygons.pdf
- https://www.twinkl.com/teaching-wiki/12-sided-shape
- https://en.wikipedia.org/wiki/List_of_uniform_polyhedra
- https://en.wikipedia.org/wiki/Megagon
- https://www.wyzant.com/resources/answers/809674/chapter-7-angles-and-polygons
- https://www.bbc.co.uk/bitesize/guides/zshb97h/revision/6
- https://en.wikipedia.org/wiki/Icosagon
- https://www.khanacademy.org/math/geometry/hs-geo-congruence/hs-geo-congruence-theorems/v/proof-sum-of-measures-of-angles-in-a-triangle-are-180
- https://socratic.org/questions/what-is-the-interior-angle-of-a-regular-21-gon-round-to-2-decimal-places-1
- https://www.prepscholar.com/gre/blog/figure-shows-regular-9-sided-polygon-value/
- http://www.berkeleycitycollege.edu/wp/wjeh/files/2013/01/geometry_note_parallelogram1.pdf
- https://socratic.org/questions/one-exterior-angle-of-a-regular-polygon-measures-36-what-is-the-sum-of-the-polyg

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