What will be $∠ X O Y$ if arc $A B =$ arc $X Y$ and $∠ A O B = 60^{o}$ ?

30^{o}

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45^{o}

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50^{o}

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60^{o}

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Solution

The correct option is D $60^{o}$
From the figure it can be concluded from that the arcs are congruent and the chords are congruent since the values are equal. Hence the chords are equal, which implies that the angles formed at the center are equal. Thus $∠ A O B = ∠ X O Y$ .

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