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