## Elementary Geometry for College Students (7th Edition) Clone

The measure of an inscribed angle is equal to half of measure of the angle of the arc it inscribes. Thus, the measure of angle Z is 90 degrees. Since the measure of XO equals the measure of OY, we find that the measure of XY equals 10. Using the Pythagorean thorem, we obtain that YZ equals $\sqrt{10^2 - 6^2} = 8$. Since XW is congruent to WY, we find: $6^2 + WZ^2 = (8 - WZ)^2 \\ 36 = 64 - 16WZ \\ WZ = 1.75$