Question

Find the missing angle measure, arc measure or solve for x. Show all work!

Answer 1

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°