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In a cyclic quadrilateral ABCD, the side AB is extended to a point X. If ∠XBC = 82° and ∠ADB = 47°, then the value of ∠BDC is :
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- 40°
- 35°
- 30°
- 25°
- 40°
Correct Option: B
On the basis of question we draw a figure of cyclic quadrilateral ABCD in which the side AB is extended to a point X , 
We know that the sum of opposite angles of a cyclic quadrilateral is 180°.
Given , ∠CBX = 82°
∴ ∠ABC = 180° – 82° = 98°
∴ ∠ADC + ∠ABC = 180°
⇒ ∠ADC = 180° – 98° = 82°
∠ADB = 47° .
∴ ∠BDC = 82° – 47° = 35°
