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Can a quadrilateral have all four angles obtuse (each greater than 90°)?

Class 9Angle Sum Property of QuadrilateralsGeometry — Quadrilaterals
  • AYes, always
  • BNo, the sum would exceed 360°
  • CYes, if it is a square
  • DOnly if it is a rhombus

Step-by-Step Solution

Four obtuse angles would each be > 90, giving a total > 360, which is impossible since the sum must be exactly 360°.
Answer: B) No, the sum would exceed 360°

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