1. **State the problem:** We have a circle with chords WX, XS, WV, and diameter XV passing through the center. The angle at point X between diameter XV and chord XS is 52°. 2. **Goal:** Find the measure of the arc indicated near the lower-right part of the circle. 3. **Key fact:** The angle formed between a diameter and a chord at the circumference is an inscribed angle. 4. **Rule:** An inscribed angle intercepts an arc whose measure is twice the angle. 5. **Apply the rule:** The angle at X between XV (diameter) and XS is 52°, so the intercepted arc measure is: $$\text{arc measure} = 2 \times 52^\circ = 104^\circ$$ 6. **Conclusion:** The measure of the indicated arc near the lower-right is **104°**.