Question : The sum of interior angles of a regular polygon is $1440^{\circ}$. The number of sides of the polygon is:
Option 1: 10
Option 2: 12
Option 3: 6
Option 4: 8
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Correct Answer: 10
Solution :
Sum of all angles = $1440^{\circ}$
Let the number of sides of the polygon be $n$.
⇒ $1440^{\circ}$ = $(n-2)×180^{\circ}$
⇒ $(n-2)$ = $\frac{1440}{180}$
⇒ $(n-2)$ = $8$
⇒ $n$ = $2+8$ = $10$
Hence, the correct answer is 10.
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