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Question:

Can a quadrilateral ABCD be a parallelogram if (i)∠D + ∠B = 180°?

Solution:

(i) ∠D + ∠B = 180° It may or may not be possible. The sum of the measures of adjacent angles should be 180°. (ii) AB = DC = 8cm, AD = 4cm and BC = 4.4cm No, opposite sides are of different lengths. (iii) ∠A = 70° and ∠C = 65° No, opposite angles should be equal.