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Rohit says: 'In trapezium ABCD with AB ∥ DC, ∠A + ∠B = 180°.' What is wrong?

Class 8Kites and TrapeziumsQuadrilaterals
  • AAll four angles add to 180°
  • BNothing, he is right
  • CThe supplementary pairs are ∠A, ∠D and ∠B, ∠C
  • D∠A and ∠B must be equal

Step-by-Step Solution

Co-interior angles lie on the same transversal. Here the transversals are the legs AD and BC, so ∠A + ∠D = 180° and ∠B + ∠C = 180°. ∠A + ∠B need not be 180°.
Answer: C) The supplementary pairs are ∠A, ∠D and ∠B, ∠C

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