Question

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

Answer 1

In quadrilateral $ABCD,\angle A+\angle D={180}^0$ i.e, the sum of two consecutive angles is ${180}^0$, SO pair of opposite side $AB$ and $CD$ are parallel.

Therefore, quadrilateral $ABCD$ is trapezium. Hence, special name which can be given to this quadrilateral $ABCD$ is a trapezium