Question 66

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

Solution

Sum of all interior angles of a polygon having $$n$$ sides = $$(n - 2) \times 180$$°

Number of sides of dodecagon, $$n = 12$$

=> Sum of interior angles = $$(12 - 2) \times 180$$°

= $$10 \times 180 = 1800$$°

In a regular dodecagon, all sides are equal and thus all angles are equal.

$$\therefore$$ Measure of each angle = $$\frac{1800}{12} = 150$$°

=> Ans - (C)

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