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A student claims a quadrilateral has angles 100°, 100°, 100° and 100°.
Without drawing, decide whether such a quadrilateral can exist.

Class 9Angle Sum Property of QuadrilateralsGeometry — Quadrilaterals
  • AYes, it is a valid quadrilateral
  • BNo, the sum is 400° which is too much
  • CYes, but only if it is a square
  • DNo, the sum is 320° which is too little

Step-by-Step Solution

deg, but a quadrilateral's angles must sum to exactly 360°, so it cannot exist.
Answer: B) No, the sum is 400° which is too much

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