Question

Can a quadrilateral ABCD be a parallelogram,give reasons in support of your answer. (1) angleA +angleC=180 degree (2)AD=BC=6cm,AB=5cm,DC=4.5cm (3)angleB=80degree,anglD=70dgr (4)anglB+anglC=180dgr

Answer 1

1) yes, because angle A and angle C are opposite angles of quadrilateral ABCD so if sum of opposite angles is 180 degrees then they can be 90 both and the property of a parallelogram is that opposite angles are equal so it can be a parallelogram
2) no because in parallelogram opposite sides are equal and here AD equal to BC but AB not equals to CA
3) no because in parallogram opposite angles are equal but in the given situation opposite angles are not equal
4) yes it can be parallelogram because in parallelogram the sum of adjacent angles can be 180 degree........

Answer 2

Answer:

Check the attachment above

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