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8th Class Mathematics Understanding Quadrilaterals Question Bank Understanding Quadrilaterals

  • question_answer
    Each interior angle of a regular polygon is \[{{150}^{o}}\] How many sides has the polygon?

    A)  \[8\]                                    

    B)                         \[12\]                  

    C)                         \[9\]                                    

    D)                         \[10\]

    Correct Answer: B

    Solution :

    Let the polygon have 'n' sides. Sum of the interior angles                 \[=(n-2)\times {{180}^{o}}\] \[\therefore \]  \[n\times {{150}^{o}}=(n-2)\times {{180}^{o}}\] \[\Rightarrow \]               \[150n=180n-{{360}^{o}}\] \[\Rightarrow \]               \[n\,=12\]


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