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

  • question_answer
    \[\angle 1\]and\[\angle 2\]are complementary angles\[\angle 2\]and \[\angle 3\] are supplementary angles. If \[\angle 1=45{}^\circ ,\] then \[\angle 3\] measures

    A)  \[145{}^\circ \]                                

    B)  \[135{}^\circ \]

    C)  \[45{}^\circ \]                                  

    D)  \[150{}^\circ \]

    Correct Answer: B

    Solution :

         \[\angle 1+\angle 2\,90{}^\circ \] (Complementary angles) \[\angle 2=\,90{}^\circ -\angle 1\Rightarrow 90{}^\circ -45{}^\circ \Rightarrow \angle 2=45{}^\circ \] \[\angle 2+\angle 3=180{}^\circ \] (Supplementary angles) \[\angle 3=180{}^\circ -\angle 2\] \[\angle 3=180{}^\circ -45{}^\circ =135{}^\circ \]


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