8th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    If each interior angle of a regular polygon is twice as large as the exterior angle, the number of sides is

    A) 4                    

    B) 6

    C) 10                               

    D) 8

    Correct Answer: B

    Solution :

    Let the no. of sides = n Now, interior angle of polygon of n sides \[\angle AOB\]and exterior angle \[\angle ACB\] According to the question: \[{{180}^{o}}\] \[\square ABCD\]  \[\Rightarrow \] \[\angle A+\angle C={{180}^{o}}\]  \[\angle B+\angle D={{180}^{o}}\]  \[{{90}^{o}}\] \[\Rightarrow \]


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