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

Question

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

Uniteasy Admin · Accepted Answer

AB and AC are the tangent to the circle. So, 
$$AB\perp OB $$ and $$AC\perp OC$$ 
In the quadrilateral $$ABOC$$,
$$ \angle  BAC+\angle ACO+\angle BOC+\angle OBA=360\degree  $$
$$25\degree  +90\degree + \angle BOC+90\degree =360\degree    $$
$$	herefore \angle BOC =155\degree  $$

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