The special name given to a quadrilateral PQRS if ∠P + ∠S = 180° is a Cyclic Quadrilateral.

Here's why:

1. In a quadrilateral, the sum of all interior angles is 360°.
2. If ∠P + ∠S = 180°, it means that the opposite angles of the quadrilateral are supplementary (add up to 180°).
3. This is a property of a Cyclic Quadrilateral, where the opposite angles are supplementary.
4. Therefore, if ∠P + ∠S = 180°, the quadrilateral PQRS can be called a Cyclic Quadrilateral.

Question

The special name given to a quadrilateral PQRS if ∠P + ∠S = 180° is a Cyclic Quadrilateral.

Here's why:

1. In a quadrilateral, the sum of all interior angles is 360°.
2. If ∠P + ∠S = 180°, it means that the opposite angles of the quadrilateral are supplementary (add up to 180°).
3. This is a property of a Cyclic Quadrilateral, where the opposite angles are supplementary.
4. Therefore, if ∠P + ∠S = 180°, the quadrilateral PQRS can be called a Cyclic Quadrilateral.

Knowee AI · Accepted Answer

The special name given to a quadrilateral PQRS if ∠P + ∠S = 180° is a Cyclic Quadrilateral.

Here's why:

1. In a quadrilateral, the sum of all interior angles is 360°.
2. If ∠P + ∠S = 180°, it means that the opposite angles of the quadrilateral are supplementary (add up to 180°).
3. This is a property of a Cyclic Quadrilateral, where the opposite angles are supplementary.
4. Therefore, if ∠P + ∠S = 180°, the quadrilateral PQRS can be called a Cyclic Quadrilateral.

What special name can be given to a quadrilateral PQRS if the ∠P + ∠S =180°?

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