Multiple Choice Question (MCQ)

In the given figure, if \angle BAC = 25°, the value of \angle BOC is

  1. ×

    135\degree

  2. ×

    145\degree

  3. 155\degree

  4. ×

    165\degree

Collected in the board: Circles problems

Steven Zheng posted 1 month ago


Answer

  1. AB and AC are the tangent to the circle. So,

    AB\perp OB and AC\perp OC

    In the quadrilateral ABOC,

    \angle BAC+\angle ACO+\angle BOC+\angle OBA=360\degree

    25\degree +90\degree + \angle BOC+90\degree =360\degree

    \therefore \angle BOC =155\degree

Steven Zheng posted 1 month ago

Scroll to Top