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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 \[{{15}^{o}}\] and \[{{30}^{o}}\] Find \[{{45}^{o}}\].

    A)  \[{{60}^{o}}\]                                

    B) \[\angle CAD={{40}^{o}}\]

    C)  \[\angle BDC={{25}^{o}}\]           

    D)  \[\angle BDC\]

    Correct Answer: C

    Solution :

    Angles in a same segments are equal. \[\angle A={{80}^{o}}\]  \[\angle C={{35}^{o}}\] So  \[\angle EDB=\] Here, ABCD is a cyclic quadrilateral. So, the sum of opposite angles = \[{{120}^{o}}\] \[{{160}^{o}}\]  \[{{70}^{o}}\]        \[{{115}^{o}}\]      \[\Delta ABC\]       


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