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Angle Subtended by Diameter on the Circle

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Question

From the following figure find value of $X Y$ if $∠ A O B = ∠ X O Y$ .

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Solution

The correct option is B $11$
Since the angles are equal the chords must be congruent to each other. Hence,
$y + 4 = 2 y - 3$
$y = 4 + 3 = 7$
$X Y = 2 (7) - 3$
$X Y = 14 - 3 = 11$

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