Question

Trapezoid PQRS can/can’t be inscribed in a circle because the:

1. Opposite angles are not congruent
2. Adjacent angles are congruent
3. Adjacent angles are supplementary
4. Opposite angles are supplementary

Answer 1

option 4

Explanation:

If the trapezoid were to be inscribed in a circle , then it would be a cyclic quadrilateral.

• the opposite angles of a cyclic quadrilateral are supplementary

from the diagram

∠ Q + ∠ S = 115° + 65° = 180°

∠ P + ∠ R = 115° + 65° = 180°

Then PQRS can be inscribed in a circle