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  • 26-04-2022
  • Mathematics
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B.The sum of the measures of the interior angles of a convex polygon is given. What kind polygon is each?

BThe sum of the measures of the interior angles of a convex polygon is given What kind polygon is each class=

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Аноним Аноним
  • 26-04-2022

Answer:

Below in bold.

Step-by-step explanation:

The formula for the number of degrees in a convex polygon of side length n is   S = 180(n - 2)

Solving for n:

n - 2 = S/180

and  n = (S/180) + 2.

1.   n = (900/180) + 2 = 5 + 2 = 7 . This is a heptagon.

2.   n = (1800/180) + 2 =  12.  A duodecagon.

3.   n = (2160/180) + 2 =   14 sided polygon.

4.    n =  (2520/180) + 2 = 16 sided polygon.

5.    n = (3420/180) + 2 =  21 sided polygon.

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