Question

A polygon has 10080degree as the total interior angle how many sides has the polygon a. 48 b. 58. C. 40

D. 32

Answer 1

B

Explanation:

the sum of the interior angles of a polygon is

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

given sum = 10080 , then

180° (n - 2) = 10080 ( divide both sides by 180 )

n - 2 = 56 ( add 2 to both sides )

n = 58

that is the polygon has 58 sides