Question 88

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

Solution

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

Number of sides of decagon, $$n = 10$$

=> Sum of interior angles = $$(10 - 2) \times 180$$°

= $$8 \times 180 = 1440$$°

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

$$\therefore$$ Measure of each angle = $$\frac{1440}{10} = 144$$°

=> Ans - (C)

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