9th Class Mathematics Circles Question Bank Circles

  • question_answer
    If O is the centre of the given circle with \[\angle ACB={{60}^{o}},\]find the value of \[x.\]

    A) \[120{}^\circ \]                        

    B) \[100{}^\circ \]     

    C) \[240{}^\circ \]              

    D) \[180{}^\circ \]

    Correct Answer: C

    Solution :

    \[\angle AOB=2\angle C=2\times {{60}^{o}}={{120}^{o}}\] Now,\[\angle AOB+x={{360}^{o}}\] \[\Rightarrow \]\[x={{360}^{o}}-\angle AOB\] \[={{360}^{o}}-{{120}^{o}}={{240}^{o}}\]


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