In the given figure, O is the centre of the circle. Find the value of $x$ .

30°

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40°

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50°

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100°

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Solution

The correct option is C
50°

In the figure $∠ A B D = 50^{\circ}$

$∠ A B D = ∠ A C D$ [ $∵$ Angles in the same segment are equal]

$∴ ∠ A C D = ∠ A B D = 50^{\circ}$

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