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Understanding Quadrilaterals
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07/08/2021 10:28 am
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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°?
1 Answer
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07/08/2021 10:30 am
(i) Yes, a quadrilateral ABCD be a parallelogram if ∠D + ∠B = 180°
but it should also fulfilled some conditions which are:
(a) The sum of the adjacent angles should be 180°.
(b) Opposite angles must be equal.
(ii) No, opposite sides should be of same length. Here, AD ≠ BC
(iii) No, opposite angles should be of same measures. ∠A ≠ ∠C