Question

select the correct answer from each drop - down menu.
trapezoid pqrs ▼ be inscribed in a circle because the ▼.

Explanation:

Step1: Recall cyclic quadrilateral property

A quadrilateral can be inscribed in a circle (cyclic quadrilateral) if and only if the sum of each pair of opposite angles is \(180^\circ\) (supplementary).

Step2: Check opposite angles of trapezoid PQRS

• Angle at P: \(115^\circ\), Angle at R: \(65^\circ\). Sum: \(115^\circ + 65^\circ = 180^\circ\).
• Angle at Q: \(115^\circ\), Angle at S: \(65^\circ\). Sum: \(115^\circ + 65^\circ = 180^\circ\).

Since both pairs of opposite angles are supplementary, the trapezoid can be inscribed in a circle.

Answer:

First drop - down: can
Second drop - down: sum of each pair of opposite angles is \(180^\circ\) (or "opposite angles are supplementary")