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Find the number of sides of a convex polygon if the sum of the measures of its interior angles is 4680º.

User GolezTrol
by
5.3k points

1 Answer

3 votes

Answer:

28 sides

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

User Max Cascone
by
6.2k points
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