# Quick Answer: What Is The Sum Of The Exterior Angles Of A Concave Polygon?

## What is the definition of exterior angles?

an angle formed outside parallel lines by a third line that intersects them.

an angle formed outside a polygon by one side and an extension of an adjacent side; the supplement of an interior angle of the polygon..

## What is the exterior angle of a hexagon?

A rule of polygons is that the sum of the exterior angles always equals 360 degrees.

## What is the formula for the sum of interior angles in a polygon?

(n-2)x 180 degrees : The formula for finding the sum of all angles in a polygon (REGULAR).

## Why is the sum of exterior angles of a polygon always 360?

When all of the angles of a convex polygon converge, or pushed together, they form one angle called a perigon angle, which measures 360 degrees. If the sides of the convex polygon are increased or decreased, the sum of all of the exterior angle is still 360 degrees.

## What is a 1 trillion sided shape called?

Regular megagonA megagon or 1 000 000-gon is a polygon with 1 million sides (mega-, from the Greek μέγας megas, meaning “great”). Even if drawn at the size of the Earth, a regular megagon would be very difficult to distinguish from a circle….Megagon.Regular megagonA regular megagonTypeRegular polygonEdges and vertices10000006 more rows

## What is the sum of the exterior angles of a regular 15 Gon?

The sum of the exterior angles in any convex polygon, including a regular 15-gon, is \begin{align*}360^\circ\end{align*}.

## What is the sum of the exterior angles of a regular hexagon?

The measure of each exterior angle of a regular hexagon is 60 degrees. The sum of the exterior angles of all regular polygons equal 360 degrees….

## What is 1000 sided shape called?

chiliagonIn geometry, a chiliagon (/ˈkɪliəɡɒn/) or 1000-gon is a polygon with 1,000 sides.

## What is the sum of the exterior angles of a 13 Gon?

360 degsWhat is the sum of the exterior angles in a regular 13-gon? The sum of exterior angles = 360 degs for ALL polygons. Any number of sides, regular or not. Including the circle, a polygon with an infinite # of sides.

## What is the sum of the exterior angles of a 20 sided polygon?

360∘Therefore 20 -gon has 20 exterior angles whose sum is 360∘ .

## What is a 70 sided shape called?

heptacontagonIn geometry, a heptacontagon (or hebdomecontagon from Ancient Greek ἑβδομήκοντα, seventy) or 70-gon is a seventy-sided polygon. The sum of any heptacontagon’s interior angles is 12240 degrees.

## What is the sum of the exterior angles of a polygon with 100 sides?

360∘Since we know that sum of exterior angles of a convex polygon is 360∘ . so the sum of the exterior angle of the convex polygon with 100 sides is 360∘ .

## What is the formula of exterior angles?

The sum of exterior angles of a polygon is 360°. The formula for calculating the size of an exterior angle is: exterior angle of a polygon = 360 ÷ number of sides.

## What is the sum of the 3 exterior angles of a triangle?

One can also consider the sum of all three exterior angles, that equals to 360° in the Euclidean case (as for any convex polygon), is less than 360° in the spherical case, and is greater than 360° in the hyperbolic case.

## What’s a one sided shape called?

List of n-gons by Greek numerical prefixesSidesNames1henagonmonogon2digonbigon3trigontriangle4tetragonquadrilateral7 more rows

## Is the sum of exterior angles always 360?

If you extend each side of a polygon to form one exterior angle at each vertex, you get a set of exterior angles. This conjecture tells us that the sum of a set of exterior angles is 360 degrees.

## What is a 9999 sided shape called?

MyriagonRegular myriagonCoxeter diagramSymmetry groupDihedral (D10000), order 2×10000Internal angle (degrees)179.964°Dual polygonSelf5 more rows

## What is the exterior angle sum of any polygon?

If you count one exterior angle at each vertex, the sum of the measures of the exterior angles of a polygon is always 360°.

## What is the sum of exterior angles of a convex polygon?

Sal demonstrates how the the sum of the exterior angles of a convex polygon is 360 degrees.

## What is the sum of the exterior angles of a 17 sided polygon?

360°The sum of the interior angles of a 17-sided convex polygon is 2700°, and the sum of the exterior angles is 360°.

## What is the sum of interior angles of a 15 sided polygon?

Each triangle has an angle sum of 180 degrees, so the sum of the interior angles of the 15-gon must be 13 × 180 = 2340 degrees.

## What is 12 sided shape called?

dodecagonIn geometry, a dodecagon or 12-gon is any twelve-sided polygon.

## What is the sum of exterior angle of triangle?

Together, the adjacent interior and exterior angles will add to 180° . For our equilateral triangle, the exterior angle of any vertex is 120° .

## What is the exterior angle of a 12 sided polygon?

Explanation: For a regular n -gon, the measure of an exterior angle is 360˚n . Since a dodecagon has 12 sides, an exterior angles is 360˚12=30˚ .

## What is the sum of the exterior angles of a 23 Gon?

A regular polygon is one that has equal sides and equal interior angles. n-gons, so a 23 sided polygon would be called a 23-gon. The sum of the measures of the angles of a convex polygon with n sides is (n – 2)180.

## What’s a 6 sided shape called?

hexagonMore than Four Sides A five-sided shape is called a pentagon. A six-sided shape is a hexagon, a seven-sided shape a heptagon, while an octagon has eight sides…

## What is the exterior angle sum of a 500 gon?

31) What is the exterior angle sum of a 500-gon? 360° 32) Is there a regular polygon with an interior angle sum of 9000°? If so, what is it? Yes, regular 52-gon.

## What is the sum of the exterior angles of a regular Nonagon?

To find the measure of the angles, we know that the sum of all the angles is 1260 degrees (from above)… And there are nine angles…

## What’s a 13 sided shape called?

tridecagonIn geometry, a tridecagon or triskaidecagon or 13-gon is a thirteen-sided polygon.