In the figure, chords AB and PQ are equal, angle $∠ A O B = 55 °$ and $∠ P O Q = x,$ then find the measure of $x$ .

35 °

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155 °

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55 °

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125 °

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Solution

The correct option is C
$55 °$
Given, $A B = P Q .$
Since equal chords subtend equal angles at the centre, we have

$∠ A O B = ∠ P O Q .$

$∠ A O B = 55 °$

$\Rightarrow ∠ x = ∠ P O Q = 55 °$

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