Question 1023060: Is the sum of the interior angles of a polygon is 3780 degrees how many sides does it have please explain Found 2 solutions by FrankM, jeseca_1964:Answer by FrankM(1040) (Show Source):
You can put this solution on YOUR website!
See how a rectangle (4 sides) can be cut into 2 triangles?
And a pentagon (5 sides) cut into 3
Any N-gon, can be cut into N-2 triangles and the total degrees is 180 (N-2). Think about this, draw a triangle, square, pentagon, hexagon, etc.
180 (N-2) = 3780
N-2 = 3780/180
N-2 = 21
N= 23
You can put this solution on YOUR website! To find the number of sides of the polygon using the given sum of interior angles
we need to use the formula
(n-2)180 and the given number 3780
so (n-2)180 = 3780
180n - 360 = 3780
180n - 360 + 360 = 3780 + 360
180n 0 = 4140
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