To find the arc measure for arc \( \overarc{PSU} \) in circle \( V \), we can use the information provided. In a circle, the measure of an arc is determined by the central angle that subtends the arc.
-
Identify the Points: You mentioned points \( P \), \( Q \), \( R \), \( S \), \( T \), \( U \), and \( V \). We need to determine which segments form arc \( \overarc{PSU} \).
-
Central Angle: The measure of arc \( \overarc{PSU} \) is equal to the central angle \( \angle PVS \) (if \( V \) is indeed the center of the circle) plus the arc \( \overarc{SU} \).
-
Calculating Arc Measure: If \( \overarc{PSU} \) is formed by points \( P \), \( S \), and \( U \) in that order, the total measure of the arc can potentially be derived from the sum of the angles or from given arc lengths.
Based on your options:
- If \( \angle PVS = 134^\circ \), then \( \overarc{PSU} = 134^\circ \).
- The measure of the arc can be directly taken from \( \angle PVS \) if it is a central angle that subtends arc \( PSU \).
If no calculations are needed or no additional requirements are provided, the arc measure for \( \overarc{PSU} \) would be \( 134^\circ \).
Conclusion
Hence, the measure of arc \( \overarc{PSU} \) is \( \boxed{134^\circ} \). If other arcs or angle measures (like \( 90^\circ \) or \( 39^\circ \)) may relate to other arcs or segments, those would need additional context to contribute to the calculation of \( \overarc{PSU} \).