In the figure given, if $Δ A B C$ is an isosceles triangle and OB and OC are angle bisectors of $∠ B$ and $∠ C$ respectively, then $Δ B O C$ is ____.

isosceles

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equilateral

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scalene

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right-angled

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Solution

The correct option is A isosceles

In $Δ A B C$ , $∠ A B C = ∠ A C B$

So, $\frac{(∠ A B C)}{2} = \frac{(∠ A C B)}{2}$

$∠ B O C = ∠ B C O$

Therefore, $Δ B O C$ is also isosceles.

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