8th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    The number of sides of a regular polygon is double that of another and the magnitude of its angle is also double that of the other. Find the number of sides of the polygon.

    A) 3                 

    B) 8

    C) 10                  

    D) 12

    Correct Answer: A

    Solution :

    Let \[\angle A-\angle C=...\] be the first polygon and \[{{180}^{o}}\] be the second polygon. Let n be the number of side of \[{{0}^{o}}\] and 2n be the number of side of\[{{360}^{o}}\]. Let \[{{90}^{o}}\] be the magnitude of angle of \[\angle DAB={{75}^{o}}\] and \[\angle DBC={{60}^{o}}\] be the magnitude of angle of \[\angle CDB=....\] Given:   \[{{60}^{o}}\]                             .....(1) Now,  \[{{75}^{o}}\] \[{{45}^{o}}\] Now, from equation (1), we have \[{{135}^{o}}\] \[\sqrt{407}\] \[{{68}^{o}}\] \[{{63}^{o}}\] \[{{252}^{o}}\] \[\Delta ABC\]\[\angle ACB={{65}^{o}}\] \[\angle ABC\] \[{{25}^{o}}\]                     


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