∠XWY is an inscribed angle because it has a vertex on the circle. This means that m∠XWY is half of the arc it intercepts, which is XY. We can model the situation using an equation:
m∠XWY = mXY / 2
37° = mXY / 2
mXY = 74°
All arcs in a circle add up to 360°. Because of this, we can say:
