In the given figure, O is the centre of a circle and $∠ O A B = 50 °$ . Find $∠ B O D$ .

100°

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80°

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50°

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130°

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Solution

The correct option is A 100°
$O A = O B$ (radii of the same circle)
$\Rightarrow ∠ B O A = ∠ O A B = 50 °$
In $O A B$ , we have:
$∠ B O D = ∠ O A B + ∠ B O A$
$∠ B O D = 50 ° + 50 °$
$∠ B O D = 100 °$

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