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9th Class Mathematics Geometry Question Bank Geometry

  • question_answer
    One angle of a seven-sided polygon is 114. And each of the other six angles is \[x{}^\circ \]. The value of \[x\] is

    A) \[114{}^\circ \]

    B) \[121{}^\circ \]

    C) \[131{}^\circ \]  

    D)  \[151{}^\circ \]

    Correct Answer: C

    Solution :

     Sum of the interior angles of an n-sided polygon \[=(2n-4)\times 90\]                 \[\therefore \]  \[6x+114=(2\times 7-4)\times 90\]                 or            \[6x=786\]                 or            \[x={{131}^{o}}\]


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