cosmiclasers13 cosmiclasers13
  • 22-10-2020
  • Mathematics
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Please Help!!
Find the number of sides of a convex polygon if the sum of the measures of its interior angles is 4680º.

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jimrgrant1 jimrgrant1
  • 22-10-2020

Answer:

28 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is

sum = 180(n - 2) ← n is the number of sides

Here sum = 4680 , thus

180(n - 2) = 4680 ( divide both sides by 180 )

n - 2 = 26 ( add 2 to both sides )

n = 28

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