Question

circle c is shown below.
in the circle, the measure of arc ( pr = 24^circ ). what is the measure of angle ( pqr )?
( 12^circ )
( 24^circ )
( 8^circ )
( 48^circ )

Explanation:

Step1: Recall Inscribed Angle Theorem

The measure of an inscribed angle is half the measure of its intercepted arc. Angle \( PQR \) is an inscribed angle that intercepts arc \( PR \).

Step2: Apply the Theorem

Given arc \( PR = 24^\circ \), the measure of angle \( PQR \) is \( \frac{1}{2} \times \text{measure of arc } PR \).
So, \( \angle PQR=\frac{1}{2}\times24^\circ = 12^\circ \).

Answer:

12° (corresponding to the option with 12°)