This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.

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Answer
2 \times 15^\circ = 30^\circ$.
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 is a central angle, . This means the measure of arc PQ is . • The angle is an inscribed angle, . An inscribed angle is half the measure of its intercepted arc. intercepts arc QR. So, the measure of arc QR is . The central angle subtended by arc
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Identify the given angles and their types. The image shows a circle with its center, let's call it O.
This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.