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One way to think of this is to join all the vertices of the polygon to a single point call this point X. For a n-sided poygon, you now have n triangles. The sum of all the angles of each triangle is 180 degrees. So all the angles of all the n triangles add to n*180 degrees.
But, this sum includes all the angles around the point X and these add to 360 = 2*180 degrees. These need to be taken away. So (n-2)*180 degrees.
What else can I help you with?
What is the formula to figure out how many diagnols there are in a shape?
Formula: 0.5*(n2-3n) where n is the number of sides
What is the sum of the 10 positive integers?
The sum of the first 10 positive integers, using the formula N1 + (N1 + 1) + ... + N2 = N2 * (N2 + 1) / 2 - (N1 - 1) * N1 / 2 is: 55
What is the formula to calculate the area of a square?
The formula can be written, with "n" representing a number or value, as n2 or n X n.
What is the formula for the nth term of 1 4 9 16 25?
tn = n2
What is the formula for the sides of a polygon if the diagonals are given?
1/2*(n2-3n) = number of diagonals Rearranging the formula: n2-3n-(2*diagonals) = 0 Solve as a quadratic equation and taking the positive value of n as the number of sides.
What is the formula for the sum of the series r(1/n2-1/n2)?
The formula for the sum of the series r(1/n2-1/n2) is r(1-1/n2).
What is chemical formulas for helium and nitrogen?
The chemical formula for helium is He, and the chemical formula for nitrogen is N2.
Chemical formula for nitrogen?
Formula: N2
The chemical formula for nitrogen?
Formula: N2
What is the formula N2?
Its Dinitrogen
Formula of nitrogen?
N2
What is the chemical formula for nirtrogen gas?
Formula: N2
The formula for nitrogen gas?
N2
What is the chemical formula of nitrogen?
n2
What is the formula for molecular nitrogen?
N2
What is the chemical formula of liquid nitrogen?
The chemical formula of liquid nitrogen is N2, meaning it consists of two nitrogen atoms covalently bonded together.
How do you balance this equation N2 plus H2 to NH3 plus N2?
The formula for the synthesis of ammonia from diatomic nitrogen and hydrogen is: N2+3H2-->2NH3
