Question
The difference between each Internal angle and each
external angle of a polygon is 60°. Find the number of Sides.Solution
Internal Angle of a Polygon = ((n-2)×180°)/n External Angle of a Polygon = (360°)/n ((n-2)×180°)/n - (360°)/n = 60° ((n-2)×3)/n - 6/n = 1 (3n-6-6)/n = 1 3n – 12 = n n = 6
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