SSC Sample Paper Mock Test-20 SSC CGL Tear-II Paper-1

  • question_answer
    In the adjoining figure, ABCD is a trapezium in which AB||DC. If \[\angle A=55{}^\circ \]and \[\angle B=70{}^\circ ,\]then the value of \[\angle C\]and \[\angle D\] is

    A)  \[75{}^\circ \] and  \[85{}^\circ \]

    B)  \[90{}^\circ \] and \[120{}^\circ \]

    C)  \[110{}^\circ \] and \[125{}^\circ \]

    D)  \[115{}^\circ \]and \[120{}^\circ \]

    Correct Answer: C

    Solution :

    As, AB||CD So, \[\angle A+\angle D=180{}^\circ \] \[\Rightarrow \]   \[\angle D=180{}^\circ -55{}^\circ =125{}^\circ \] Also, \[\angle B+\angle C=180{}^\circ \] \[\Rightarrow \]   \[\angle C=180{}^\circ -\angle B=180{}^\circ -70{}^\circ =110{}^\circ \] So,       \[\angle C=110{}^\circ \]and \[\angle D=125{}^\circ \]


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