In quadrilateral ABCD- - A- D-180- What special name can be given to this quadrilateral-

In a quadrilateral, if the sum of any two adjacent angles is 180^∘, then it is called as nbsp;trapezium. In the nbsp;quadrilateral ABCD, ∠ A and ∠ D are adj ...

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Standard IX

Mathematics

Trapezium

In quadrilate...

Question

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

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Solution

In a quadrilateral, if the sum of any two adjacent angles is $180^{\circ}$ , then it is called as trapezium.
In the quadrilateral $A B C D, ∠ A$ and $∠ D$ are adjacent angles and their sum is $180^{\circ}$ . Hence, $A B C D$ is a trapezium.

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

In a quadrilateral, if the sum of any two adjacent angles is 180∘, then it is called as trapezium. In the quadrilateral ABCD,∠A and ∠D are adjacent angles and their sum is 180∘. Hence, ABCD is a trapezium.

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

In a quadrilateral, if the sum of any two adjacent angles is $180^{\circ}$ , then it is called as trapezium.
In the quadrilateral $A B C D, ∠ A$ and $∠ D$ are adjacent angles and their sum is $180^{\circ}$ . Hence, $A B C D$ is a trapezium.