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SSC Quantitative Aptitude Quadratic Equations Question Bank Quadrilateral and Polygon (I)

  • question_answer
    The interior angle of a regular polygon exceeds its exterior angle by \[108{}^\circ .\]The number of sides of the polygon is             [SSC CGL Tier II, 2015]

    A) 12

    B) 10

    C) 16

    D) 14

    Correct Answer: B

    Solution :

    [b] Let the number of sides of polygon is n. Then, according to the questions, \[\frac{(n-2)\times 180}{n}-\frac{360}{n}=108\] \[\Rightarrow \]   \[\frac{180n-360-360}{n}=108\] \[\Rightarrow \]   \[180n-108n=720\] \[\Rightarrow \]   \[72n=720\] \[\therefore \]      \[n=10\]


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