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Mathematics

If O is the center of the circle, find the value of x in the following figure (using the given information) :

If O is the center of the circle, find the value of x in the figure (using the given information). Circles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Circles

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Answer

∠ADB = ∠ACB = x° (∵ angles in same segment are equal.)

Considering △AOD,

∠ODA = ∠OAD = 62° (∵ OD = OA, and angles of equal sides are equal.)

∴ x = 62°.

Hence, the value of x = 62°.

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