Question 178210
In each of the following, determine the number of sides of
a regular polygon with the stated property. If such a regular
polygon does not exist, explain why.
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1. Each exterior angle measures 25°.
The sum of the exterior angles is 360
number of sides= 360/25 = 14.4
That doesn't make any sense.
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The total number of diagonals is 4860.
nC2 - n is the number of diagonals of a regular polygon with n sides
nC2 - n = [n(n-1)]/[1*2] - n = (n^2-n)/2 - n
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(n^2-n)/2 - n = 4860
n^2 - n -2n = 9720
n^2 - 3n - 9720 = 0
solve for n
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Cheers,
Stan H.