A circle has points P, Q, R, S, T on its circumference with center O. Given central angle POQ is 125 degrees and inscribed angle QSR is 15 degrees, find the measure of arc QR.

Step 1: Identify the given angles and their types.
The image shows a circle with its center, let's call it O. The points P, Q, R, S, T are on the circumference.

• The angle $125^\circ$ is a central angle, $\angle POQ$. This means the measure of arc PQ is $125^\circ$.
• The angle $15^\circ$ is an inscribed angle, $\angle QSR$. An inscribed angle is half the measure of its intercepted arc. $\angle QSR$ intercepts arc QR. So, the measure of arc QR is $2 \times \angle QSR = 2 \times 15^\circ = 30^\circ$. The central angle subtended by arc