3. Can a quadrilateral ABCD be a parallelogram if
(ii) AB = DC = 8 cm, AD = 4 cm and BC = 4.4 cm?
(i) angleD + angleB = 180°?
(iii) ZA = 70° and C = 65°?
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step by step explanation is mandatory
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Answer:
answer is ( i ) angle D+angle B=180°
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Step-by-step explanation:
Certain properties of parallelogram says that :
>opposite sides must be equal to each other .
>Opposite angles must be equal .
>Angles of two corresponding vertices must sum to 180°.
1.)AB=DC but AD!=BC . Therefore , it willl not form parallelogram.
2.)Angle D has to be equal to Angle B . And maybe it may not form parallelogram . If angle of vertices measure 90° , it will form rectangle , which is a type of parallelogram.
3.)Angle A and Angle C are angles on
opposite vertex . Therefore , it needs them to be equal . But , Angle A != Angle C . So definitely it will not form parallelogram
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