8th Class Mathematics Practical Geometry Question Bank Geometry

  • question_answer
    In \[\Delta PQR,\]\[PQ=PR,\]\[\angle QPR\]is equal to              

    A)  \[20{}^\circ \]                   

    B)  \[30{}^\circ \]

    C)  \[40{}^\circ \]                      

    D)  \[50{}^\circ \]

    Correct Answer: A

    Solution :

    Given: In \[{{85}^{o}}\] So PQR is an isoceles triangle. And we know, in isoceles A, the angles opposite to the equal sides are equal. \[{{60}^{o}}\] In \[\angle BAC={{45}^{o}}\] Now,  \[\angle BED={{120}^{o}}\]     (Linear pair) \[\angle ABD\]  \[{{15}^{o}}\] \[{{30}^{o}}\] \[{{45}^{o}}\] (\[x={{50}^{o}}\]  Sum of all angles in\[\angle CBE={{130}^{o}}\])    


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