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8th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    In the given figure, ABCD is a quadrilateral inscribed in a circle. Diagonals AC and BD are joined. If\[{{30}^{o}}\]and\[\angle BDC=45{}^\circ \]. Find \[{{60}^{o}}\].

    A)  \[{{75}^{o}}\]                    

    B)  \[\angle CAD={{50}^{o}}\]

    C)  \[\angle BED={{120}^{o}}\]             

    D)  \[\angle BCD\]

    Correct Answer: C

    Solution :

    We have \[{{95}^{o}}\]          (Angles in same segment) Now, in \[{{85}^{o}}\] \[\angle A={{60}^{o}},\] \[CE||BA\] \[\angle ECD={{65}^{o}}\] \[\angle ACB=\]    \[{{60}^{o}}\]               


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