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Mathematics · 2023 · 2 marks
CBSE 2023 · Region 2 · Set 1 · Q25
In the given figure, O is the centre of the circle. AB and AC are tangents drawn to the circle from point A . If $\displaystyle \angle \mathrm{BAC}=65^{\circ}$, then find the measure of $\displaystyle \angle \mathrm{BOC}$.
Marking-scheme solution
\[\begin{aligned}
& \angle \mathrm{BAC}+\angle \mathrm{BOC}=180^{\circ} \\
& \Rightarrow \angle \mathrm{BOC}=180^{\circ}-65^{\circ} \\
& \Rightarrow \angle \mathrm{BOC}=115^{\circ}
\end{aligned}
\]
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CBSE Class 10 Mathematics past-paper question from the 2023board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.