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

Answer

In quadrilateral ABCD, $\angle\text{A}+\angle\text{D}=180^\circ$ i.e., the sum of two consecutive angles is $180^{\circ}$. So, pair of opposite side $AB$ and $CD$ are parallel.
Therefore, quadrilateral $A B C D$ is trapezium.
Hence, special name which can be given to this quadrilateral $A B C D$ is trapezium.

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