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SSC Sample Paper Mock Test-9 SSC CGL Tear-II Paper-1

  • question_answer
    The ratio of an interior angle to the exterior angle of a regular polygon is 5:1. The number of sides of polygon is

    A) 10

    B)  11

    C)  12       

    D)  14

    Correct Answer: C

    Solution :

    By condition, \[\frac{\text{Interior}\,\,\text{amngle}\,\,\text{of}\,\,\text{a}\,\,\text{regular}\,\,\text{polygon}}{\text{Exterior}\,\,\text{angle}\,\,\text{of}\,\,\text{a}\,\,\text{regular}\,\,\text{polygon}}\text{=}\frac{5}{1}\] \[\Rightarrow \]\[\frac{\frac{(n-2)}{n}\times 180{}^\circ }{\frac{360{}^\circ }{n}}=\frac{5}{1}\] \[\Rightarrow \]\[\frac{(n-2)}{2}=\frac{5}{1}\] \[\Rightarrow \]\[n-2=10\]\[\Rightarrow \]\[n=12\]


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