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11th Class Mental Ability Geometry Question Bank Question - Geometry

  • question_answer
    If each interior angle of a regular polygon is 3 times its exterior angle, the number of sides of the polygon is:

    A) 4

    B) 5

    C) 6

    D) 8

    E) None of these

    Correct Answer: D

    Solution :

    Explanation Option (d) is correct. Interior angle = \[3\times \]exterior angle \[{{180}^{{}^\circ }}-\frac{{{360}^{{}^\circ }}}{n}=3\times \left( \frac{360}{n} \right)\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\Rightarrow \,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,n=8\]


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