Can a quadrilateral ABCD be a parallelogram, if: (i) ∠D+ ∠B=180°? (ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm? (iii) ∠A=70° and ∠c=65°?

(i) ∠ D + ∠ B = 180° It can be, but here, it needs not to be.

(ii) No, in this case because one pair of opposite sides are equal and another pair of opposite sides are unequal. So, it is not a parallelogram.

(iii) No. ∠A ≠ ∠C. Since opposite angles are equal in parallelogram and here opposite angles are not equal in quadrilateral ABCD. Therefore it is not aparallelogram.

Class 8 Maths Chapter 3 Exercise 3.3 Solution in Video

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