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7th Class Mathematics The Triangle and its Properties Question Bank Geometry

  • question_answer
    DIRECTIONS: Passage ? 1 Read the passage(s) given below and answer the questions that follow In the figure PQRS is a square with \[OR=TR\] \[SR=\left( 7t-6 \right)\,cm\] and \[PS=\left( 2t+9 \right)\,cm.\] Based on this information answer the questions given below. The value of angle x and y is

    A)  \[23{}^\circ ,\,\,67{}^\circ \]         

    B)  \[51.5{}^\circ ,\,\,29.5{}^\circ \]

    C)  \[50{}^\circ ,\,\,30{}^\circ \]                      

    D)  \[67.5{}^\circ ,\,\,22.5{}^\circ \]

    Correct Answer: D

    Solution :

        In\[\Delta TOR,\] \[\angle OTS=\angle ROT=x\] \[\angle ORT=45{}^\circ \] \[x+x+45{}^\circ =180{}^\circ \] \[x=\frac{135{}^\circ }{2}=67.5{}^\circ ;\,y=90-x=22.5{}^\circ \]


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