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