Find the measure of WX

Answer:
WX = 66°
Step-by-step explanation:
The inscribed angle WXY is half the measure of its intercepted arc, then
arc WY = 2 × 57° = 114°
XY is a diameter of the circle, so
arc XY = 180°
Thus
arc WX = 360° - (180 + 114)° = 360° - 294° = 66°