Question : If the sum of all interior angles of a regular polygon is 14 right angles, then its number of sides is:
Option 1: 8
Option 2: 9
Option 3: 7
Option 4: 6
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Correct Answer: 9
Solution :
Sum of all interior angles = $14×90^{\circ}$ = $1260^{\circ}$
Let the number of sides of the polygon be $n$.
⇒ $1260^{\circ}$ = $(n-2)×180^{\circ}$
⇒ $(n-2)$ = $\frac{1260}{180}$
⇒ $(n-2)$ = $7$
⇒ $n$ = $2+7$ = $9$
Hence, the correct answer is 9.
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