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6th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    The interior angle of regular polygon exceeds its exterior angle by\[60{}^\circ \]. The name of this polygon is?

    A)  pentagon        

    B)           hexagon

    C)  decagon                     

    D)  octagon

    Correct Answer: B

    Solution :

         Let exterior angle be x. Interior angle \[=\text{ }x\text{ }+\text{ }60{}^\circ \] We know that exterior angle + interior angle \[=\text{ }180{}^\circ \] \[x+x+{{60}^{\text{o}}}={{180}^{\text{o}}}\] 2x=120° x = 60° \[\therefore \]   Ext. angle = 60° No. of sides of polygon \[=\frac{\text{360}}{\text{Ext}\text{.}\,\text{angle}}\] \[=\frac{360}{60}=6\] A 6-sided polygon is called a hexagon.


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