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  • 04-02-2019
  • Mathematics
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Find the sum of the measure of the interior angles of a polygon of 9 sides ;of 32 sides

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znk znk
  • 05-02-2019

Answer:

1260°; 5400°

Step-by-step explanation:

The sum of the measures of the interior angles of an n-sided convex polygon is

Sum = 180(n-2)°

(a) For a nonagon

     n = 9

Sum = 180(9 - 2)

       = 180 × 7

       = 1260°

(b) For a dotriacontagon (a 32-gon)

     n = 32

Sum = 180(32 - 2)

       = 180 × 30

       = 5400°

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