Find the value of $x$ in the given figure if $∠ A O B = 70^{\circ}$ and $A B = C D .$

70^{\circ}

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60^{\circ}

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80^{\circ}

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40^{\circ}

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Solution

The correct option is A $70^{\circ}$
Given that $A B = C D .$
The angle subtended by chord AB is $∠ A O B,$ and the angle subtended by chord CD is $∠ C O D = x .$
We know that equal chords subtend equal angles at the centre.
$⟹ ∠ A O B = ∠ C O D$
Thus, $x = 70^{\circ} .$

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