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Using the given information, find the value of x in the following figure :

Using the given information, find the value of x in the figure. Circles, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Circles

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Answer

From figure,

∠ACB = ∠ADB = 45° (∵ angles in same segment are equal.)

∴ ∠DCB = 32° + 45° = 77°.

Since, sum of opposite angles of a parallelogram = 180°.

∴ ∠DCB + x° = 180°
⇒ 77° + x° = 180°
⇒ x° = 180° - 77°
⇒ x° = 103°.

Hence, the value of x = 103°.

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