Tick (✓) the correct answer:


Tick (✓) the correct answer:

In a regular polygon, each interior angle is thrice the exterior angle. The number os sides of the polygon is

(a) 6

(b) 8

(c) 10

(d) 12


(b) 8

For a regular polygon with $\mathrm{n}$ sides:

Each exterior angle $=\frac{360}{n}$

Each interior angle $=180-\frac{360}{n}$

$\therefore 180-\frac{360}{n}=3\left(\frac{360}{n}\right)$

$\Rightarrow 180=4\left(\frac{360}{n}\right)$

$\Rightarrow n=\frac{4 \times 360}{180}=8$

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