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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.


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


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 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.


How many sides does a regular polygon have if each angle measures 144 degrees?

We have the interior angle 144∘ . We can find the number of sides using the formula as follows. Thus, the polygon has 10 angles and 10 sides.