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SSC Sample Paper SSC CGL - Sample Paper-16

  • question_answer
    Each interior angle of a regular polygon is \[18{}^\circ \] more than eight times an exterior angle. The number of sides of the polygon is

    A) 10                                

    B) 15

    C) 20                    

    D) 25

    Correct Answer: C

    Solution :

    If the number of sides of the regular polygon be n, then \[\therefore \] \[\left( \frac{2n-4}{n} \right)\times 90=8\times \frac{4\times 90{}^\circ }{n}+18\] \[\left( \frac{2n-4}{n} \right)\times 5=\frac{160}{n}+1\] \[\Rightarrow \]   \[10=n-20=160+n\] \[\Rightarrow \]   \[10n-n=180\] \[\Rightarrow \]   \[9n=180\] \[\Rightarrow \]   \[n=20\]           


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