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Quadrilateral ABCD circumscribes a circle with centre O. If ∠AOB = 115°, find ∠COD.

Class 10Tangent Lengths and IncirclesGeometry
  • A75°
  • B115°
  • C57.5°
  • D65°

Step-by-Step Solution

Opposite sides of a quadrilateral circumscribing a circle subtend supplementary angles at the centre: ∠AOB + ∠COD = 180°, so ∠COD = 65°.
Answer: D) 65°

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