SOLUTION: The sum of the interior angles of a regular polygon is 7560 degrees. Find the following:
The number of sides is:
The measure of each interior angle is:
The measure of each ex
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Question 584491: The sum of the interior angles of a regular polygon is 7560 degrees. Find the following:
The number of sides is:
The measure of each interior angle is:
The measure of each exterior and central angle is:
How would I solve this? I know how to solve it if I know the # of sides but not when it only gives you the sum of all of the interior angles.
Answer by scott8148(6628) (Show Source): You can put this solution on YOUR website!
the sum of the exterior angles is 360º ___ so one would equal 360º/n
an interior angle is the supplement of an exterior ___ 180º - (360º / n)
n[180 - (360/n)] = 7560 ___ 180n - 360 = 7560 ___ 180n = 7200
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