5.1 Polygon Sum Conjecture
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- diego83720
Is there a Polygon Sum Fornula
Number of sides of Polygon 3 4 5 6 7 8 .... n
Sum of measures of angles 180 360 540 720 900 1,080
If a polygon has n sides, it is called an n-gon.
A general formula for the sum of the angle measures of a polygon in terms of the number of sides, n is (n-2)180
The amount of triangles I have created is 4 triangles. The amount of triangles the diagonals have created in the dodecagon in the right is 10 triangles. The number of triangles do relate to n because if you put this in the general formula mentioned earlier, it will tell you how many degrees is in the n-gon.
Quadrilateral Sum Conjecture
The sum of the measure of the four interior angles of any quadrilateral is 360 degrees
Pentagon Sum Conjecture
The sum of the measures of the five interior angles of any pentagon is 540 degrees
Polygon Sum Conjecture
The sum of the measure of the n interior angles of an n-gon is (n-2)180