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Diagonals of rectangle ABCD meet at O. If ∠OAB = 30°, find ∠AOB.

Class 9Rectangle, Rhombus and SquareGeometry — Quadrilaterals
  • A60°
  • B90°
  • C120°
  • D150°

Step-by-Step Solution

OA = OB (half of equal diagonals), so ∠OBA = ∠OAB = 30°. ∠AOB = 180° − 60° = 120°.
Answer: C) 120°

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