9th Class Mathematics Circles Question Bank Circles

  • question_answer
    In the given figure, if \[\angle DAB={{62}^{o}}\]and \[\angle ABD={{58}^{o}},\]then \[\angle ACB\]is equal to _____.

    A) \[{{60}^{o}}\]

    B)        \[{{58}^{o}}\]

    C)        \[{{62}^{o}}\]

    D)         None of these               

    Correct Answer: A

    Solution :

    Given, \[\angle DAB={{62}^{o}},\angle ABD={{180}^{o}}\] In \[\Delta \Alpha DB,\angle DAB+\angle ABD+\angle ADB={{180}^{o}}\] \[\Rightarrow \]\[{{62}^{o}}+{{58}^{o}}+\angle ADB={{180}^{o}}\] \[\Rightarrow \]\[\angle ADB={{180}^{o}}-{{120}^{o}}={{60}^{o}}\] Now, \[\angle ACB=\angle ADB={{60}^{o}}\] (Angles in same segment are equal)


You need to login to perform this action.
You will be redirected in 3 sec spinner