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

  • question_answer
    An interior angle of a regular polygon is 5 times its exterior angle. Then, the number of sides of the polygon is

    A) 14

    B) 16

    C) 12

    D) 18

    Correct Answer: C

    Solution :

    [c] Let the measure of exterior angle be \[x{}^\circ .\] Then, measure of interior angle = \[5x{}^\circ \] Now, interior angle + exterior angle = \[180{}^\circ \] \[5x+=180\] \[x=\frac{180}{6}=30{}^\circ \] \[\therefore \]Total sides of polygon \[=\frac{360}{\text{Exterior}\,\text{angle}}\] \[=\frac{360}{30}=12\]


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