Answer:
mYW = 151°
Step-by-step explanation:
∠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:
mXY + mYW + mWX = 360°
74° + mYW + 135° = 360°
209° + mYW = 360°
mYW = 151°
