Step-by-step explanation
By the definition of Linear Pair Angles, we can see that the value of the arc WXY is equal to 180 degrees.
As we already know the measure of the arc WX, we can isolate the measure of the arc XY, as follows:
m arc XY + m arc WX = 180
Isolating the measure of the arc XY:
m arc XY = 180 - 55
Subtracting numbers:
measure arc XY = 125
Therefore, the measure of the arc XY is equal to 125 degrees