If the sum of interior angle is 3780 degree. find the number of sides

Question

Mathematics

Kallie Cortez

24 July, 23:59

If the sum of interior angle is 3780 degree. find the number of sides

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Answers (2)

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Amaris Salinas · Answer 1

The sum of the interior angles of a polygon is.

Sum = 180 (n-2) where n is the number of sides

Thus 180 (n-2) = 3780

n-2=3780/180 = 21

⇒ n = 21+2 = 23

number of sides is 23

Mara · Answer 2

Sum of interior angles of n sided polygon = (n - 2) * 180

(n - 2) 180 = 3780

180n - 360 = 3780

180n = 4140

n = 4140 / 180 = 23 sides Answer