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8th Class Mathematics Understanding Quadrilaterals Question Bank Understanding Quadrilaterals

  • question_answer
    The number of sides of a regular polygon whose each exterior angle has a measure of \[\text{30 }\!\!{}^\circ\!\!\text{ }\] is ____.

    A)  12                              

    B)  6                    

    C)  8                    

    D)         10

    Correct Answer: A

    Solution :

    Exterior angle of a regular polygon \[\text{=30 }\!\!{}^\circ\!\!\text{ }\] Let the number of sides be n. Then, \[\text{30 }\!\!{}^\circ\!\!\text{ =}{{\left( \frac{360}{n} \right)}^{o}}\Rightarrow n=\frac{360{}^\circ }{30{}^\circ }\Rightarrow n=12\]


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