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7th Class Mathematics Lines and Angles Question Bank Lines & Angles

  • question_answer
    The given figure shows two parallel lines AB and CD, which are cut by transversals EF and GH in such a way that \[\angle PQR=\angle GSP\]. What is the measure of\[\angle HRD\]?

    A)  \[52{}^\circ \]                      

    B)  \[50{}^\circ \]           

    C)  \[48{}^\circ \]      

    D)  \[46{}^\circ \]

    Correct Answer: C

    Solution :

    (c): \[\angle HRD\text{ }=\angle SRQ=\angle GSP=\angle PQR\] \[=180{}^\circ -\angle PQC=180{}^\circ -\angle SPQ\] \[=180{}^\circ -\angle APE=180{}^\circ -132{}^\circ =48{}^\circ \]             


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