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how many sides does a polygon have if the sum of the measures of the interior angles is given to be 9180

Respuesta :

Answer:

53 sides

Step-by-step explanation:

The sum of the interior angles of a polygon is calculated as

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

given the sum of the interior angles is 9180° , then

180° (n - 2) = 9180 ( divide both sides by 180°

n - 2 = 51 ( add 2 to both sides )

n = 53

The polygon has 53 sides