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  • In quadrilateral ABCD, A + D = 180º. What special name can be given to this quadrilateral?

In quadrilateral ABCD, \angle A + \angle D = 180^{\circ} .What special name can be given to this quadrilateral?

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Answer:  Trapezium

Solution.
Let the given quadrilateral ABCD is,

It is given that \angle A + \angle D = 180^{\circ}
We can see the sum of co-interior angles is 180^{\circ} which is a property of trapezium.
Therefore the given quadrilateral ABCD is a trapezium.

 

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