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3 years ago

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

Mathematics

2 answers:

timurjin [86]3 years ago

5 0

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

Murrr4er [49]3 years ago

5 0

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

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