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) Considering, ∠D + ∠B = 180°, quadrilateral ABCD may or may not be a parallelogram


Along with this, the following criteria should also be fulfilled


Opposite angles should also be of same measures


The sum of the measures of adjacent angles should be 180°


(ii) No because opposite sides AD and BC are of different lengths


(iii) No as opposite angles A and C have different measures

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