1. **Problem statement:** In a circle with center O, the measure of the minor arc PYQ is 110 degrees. We need to find the measure of the major arc PYQ. 2. **Formula and rules:** The total measure of a circle is 360 degrees. The major arc and minor arc between the same two points are supplementary arcs, meaning their measures add up to 360 degrees. 3. **Calculation:** \[ \text{Measure of major arc PYQ} = 360^\circ - \text{Measure of minor arc PYQ} \] \[ = 360^\circ - 110^\circ = 250^\circ \] 4. **Explanation:** Since the minor arc is 110 degrees, the major arc must be the remaining part of the circle, which is 250 degrees. **Final answer:** The measure of the major arc PYQ is $250^\circ$.