-
ABCD is a quadrilateral inscribed in a circle with centre O. If ∠COD = 120° and ∠BAC = 30°, then ∠BCD is :
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- 75°
- 90°
- 120°
- 60°
- 75°
Correct Option: B
As per the given in question , we draw a figure of a quadrilateral ABCD inscribed in a circle with centre O
Given , ∠COD = 120°
∠BAC = 30°
| ∠CAD = | × ∠COD | |
| 2 |
| ∠CAD = | × 120° = 60° | |
| 2 |
∴ ∠BAD = 90°
∴ ∠BCD = 180° - ∠BAD
∴ ∠BCD = 180° – 90° = 90°
