# What Is the Measure of 1 Interior Angle of a 40 Gon?

September 23, 2022

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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
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## What is the measure of one exterior angle of a 40 Gon?

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

## What is a 40 sided polygon?

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

## How many sides does a 40 gon have?

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.

## Why cant a regular polygon have an interior angle that is 40?

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.

## How many sides does a regular polygon have if each of its exterior angles measure 40?

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

## What is the measure of 1?

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.

## What is the measure of one interior angle of a regular 20 Gon?

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°.

## What is the measure of one interior angle of a regular 12 Gon?

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

## What is the interior angle of a regular polygon with 45 sides?

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.

## How do you find the interior angles of a polygon?

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.

## What is the sum of the measure of the interior angles of a triangle?

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

## Can 21 be an interior angle of a regular polygon?

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

## What is the measure of an interior angle of a regular 9 Gon?

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° .

## What’s a 4 sided shape called?

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.

## What is the number of sides of a regular polygon if the measure of one exterior angle is 36?

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

### References:

1. https://math.stackexchange.com/questions/1491230/the-exterior-angle-of-a-regular-polygon-is-40-degrees-how-many-sides-does-it
3. https://simple.wikipedia.org/wiki/Tetracontagon
4. https://socratic.org/questions/how-many-sides-are-in-a-regular-polygon-that-has-exterior-angles-of-40
5. https://quizlet.com/explanations/questions/explain-why-a-regular-polygon-cannot-95d5629f-e551-4905-9ff5-2b0cd21a474d
7. https://www.varsitytutors.com/hotmath/hotmath_help/topics/degree-measure-of-an-angle
9. https://www.twinkl.com/teaching-wiki/12-sided-shape
10. https://en.wikipedia.org/wiki/List_of_uniform_polyhedra
11. https://en.wikipedia.org/wiki/Megagon