Respuesta :

Answer:

angle sum of a triangle’Formula

Step-by-step explanation:

N stands for the number of edges, - 2 is the result after finishing, 2 has no special significance. Because the sum of outer angles is a constant n-edge shape with 360 degrees, take n flat angles 180n = inner angle and + 360, so the sum of inner angles = 180n-360 = 180 (n-2)

That formula tells you what is the sum of the interior angles of a polygon with n sides.

So, for example, a triangle has n=3 sides, and in fact the sum of its interior angles is

[tex](3-2)\cdot 180=180[/tex]

As another example, the sum of the interior angles of a polygon with 15 sides is

[tex](15-2)\cdot 180=13\cdot 180=2340[/tex]

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