Question 22

What is the measure of an interior angle of a regular polygon of 8 sides?

Solution

Sum of all interior angles of a polygon with $$'n'$$ sides = $$(n-2)\times180^\circ$$

=> Sum of angles of an octagon = $$(8-2)\times180^\circ$$

= $$6\times180^\circ=1080^\circ$$

$$\therefore$$ Measure of each interior angle of a regular polygon of 8 sides = $$\frac{1080^\circ}{8}=135^\circ$$

=> Ans - (C)

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