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Question 113
If each interior angle is double of each exterior angle of a regular polygon with n sides, then the value of n is
Solution
Let be x degree the measure of an exterior angle, then the measure of an interior angle is 2x degree. Assume that the regular polygon has n sides (or angles). We know that the sum of the interior angles is n*2x = (n-2)*180
the sum of the exterior angles is n*x = 360
Solving these two equations , we get n = 6
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