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The sum of the measures of the interior angles of a polygon is

(n-2)180


where n is the number of sides in the polygon.


Then, if you have a regular polygon (all sides are the same length, and angles equal), you can divide by the number of sides to get the angle of each side.


For instance, a pentagon has five sides.
n = 5
(5-2)180
(3)180 = 540˚


There is a total of 540˚ in a pentagon.
If it's a REGULAR pentagon, each angle is 108˚.

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Q: What is the Formula for sides and degrees of a polygon?
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Related questions

What is the angle of polygon sides?

It is given by the formula (number of sides - 2) * 180 degrees.


How do you calculate the total degrees inside of a polygon?

By using the formula: (n-2)*180 = sum of degrees in a polygon whereas 'n' is the number of sides of the polygon


What is the formula for how many sides are in a polygon?

There is no formula for how many sides there are in a polygon; the name of the polygon shows how many sides it has.


What is the formula for the total angles of a polygon?

The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees.


How many sides does a 1260 degree polygon have?

A 1260 degree polygon has nine sides. The formula for determining this is (n*180)+2, with n being equal to the degrees in the interior of the polygon.


What are the degrees of the polygon?

To find the number of degrees in ANY polygon, you can use this formula: (x-2)180 x is the number of sides in your polygon EXAMPLE: A Hexagon: (6 sides-2)180= 720o I hope this helps :D


What is the equation for the angle sum formula?

The sum of the interior angles of a polygon with n sides is (n-2)*180 degrees The sum of the exterior angles of a polygon is 360 degrees, however many sides it has.


A regular polygon is 171 degrees how many sides does the polygon have?

no a regular polygon has 360 degrees and it can have 4 or more sides


What formula do you use to find edges of a polygon?

If 'n' is the number of sides in a polygon with equal side length, then the number of sides is equivalent to (n-2)*180 degrees = total degrees in the polygon. E.g.) A polygon is even-sided with 360 degrees in its interior. How many sides does it have? Answer: (n-2)*180 = 360 n - 2 = 2 n = 4


How many degrees does a polygon have if it has 6 sides?

This polygon has 720 degrees.


How many degrees in a polygon?

In a polygon that does not include Quadrilaterals (Squares and Rectangles) I think there are 180 degrees in a Polygon. Although squares and rectangles are polygons, so I do not know why they have 360 degrees. ???Polygons have different numbers of sides. To find out how many degrees are in the polygon, use the formula 180(n-2) n=the number of sides in that polygon. So a square has 4 sides. 180(4-2), or 180 x 2=360 degrees in a square. A triangle has 3 sides, 180 (3-2) or 180 x 1=180 degrees in a triangle.


Sum of sides of a polygon?

There is not a general formula for the sum of the sides of an arbitrary polygon.