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How many sides does a convex polygon have if the sum of measures of its angles is 2 520deg?

User NimChimpsky
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1 Answer

17 votes
17 votes

Answer:

16 sides

Explanation:

the sum of the interior angles of a polygon is

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

here sum = 2520° , then

180° (n - 2) = 2520° ( divide both sides by 180° )

n - 2 = 14 ( add 2 to both sides )

n = 16

the polygon has 16 sides

User Finalfreq
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