Find the value of x in the given figure if $∠ A O B = 70 °$ and AB = CD.

50°

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60°

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70°

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80°

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Solution

The correct option is C 70°
Given that AB = CD.

The angle subtended by chord AB is $∠ A O B,$ and angle subtended by chord CD is $∠ C O D$ = x.

We know that equal chords subtend equal angles at the centre.

$∴$
$\Rightarrow ∠ A O B = ∠ C O D$
Thus, x = 70°.

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