contestada

A regular polygon is decomposed into n triangles, using the diagonals of the polygon. Which expression represents the sum of the interior angles of the polygon?
18 (n-3)
180 (n-2)
180 (n-1)
180 x n

Respuesta :

Answer:

180×(n−2)

Step-by-step explanation:

To find the sum of the interior angles of a polygon, you typically use the formula:

Sum of interior angles

=

(

2

)

×

18

0

Sum of interior angles=(n−2)×180

where

n is the number of sides (or triangles, in this case) of the polygo

Since the regular polygon is decomposed into

n triangles, the number of sides of the polygon will be

n. So, the correct expression representing the sum of the interior angles of the polygon is:

180

×

(

2

)

180×(n−2)

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