What is the measure of an interior angle of a regular dodecagon? ?->(Show Answer!)

1. What is the measure of an interior angle of a regular dodecagon?

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By: anil on 05 May 2019 02.09 am

Sum of all interior angles of a polygon having $$n$$ sides = $$(n - 2) imes 180$$° Number of sides of dodecagon, $$n = 12$$ => Sum of interior angles = $$(12 - 2) imes 180$$° = $$10 imes 180 = 1800$$° In a regular dodecagon, all sides are equal and thus all angles are equal. $$ herefore$$ Measure of each angle = $$frac{1800}{12} = 150$$° => Ans - (C)

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