Question

quadrilateral qrst is inscribed in circle p. what is the relationship between m∠q and m∠s?

Explanation:

Step1: Recall property of cyclic quadrilateral

In a cyclic quadrilateral (a quadrilateral inscribed in a circle), opposite angles are supplementary.

Step2: Identify opposite angles

In cyclic quadrilateral $QRST$, $\angle Q$ and $\angle S$ are opposite angles.

Answer:

$m\angle Q + m\angle S=180^{\circ}$