How many sides does a polygon have:

with a sum of interior angles = 540.?

Calculate sides

D = 180(n - 2)

Divide each side by 180

n - 2  =  D
  180

Add 2 to both sides:

n = D/180 - 2

Solve for n when D = 540.

n = 540./180 + 2

n = 3 + 2

Final Answer


n = 5


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What is the Answer?
n = 5
How does the Polygon Side Calculator work?
Free Polygon Side Calculator - Determines the sides of a polygon given an interior angle sum.
This calculator has 1 input.
What 1 formula is used for the Polygon Side Calculator?
D = 180(n - 2)
What 4 concepts are covered in the Polygon Side Calculator?
angle
the figure formed by two rays, called the sides of the angle, sharing a common endpoint, called the vertex of the angle.
polygon
A plane figure bounded by a set of straight lines
side
line segment joining two vertices in a polygon also known as an edge
sum
the total amount resulting from the addition of two or more numbers, amounts, or items
Example calculations for the Polygon Side Calculator

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