Answer:
XU = 19
Step-by-step explanation:
The segments from the triangle vertices to point X are all angle bisectors. Angle bisectors meet at the incenter, the center of an inscribed circle. The incircle is tangent to the sides of the triangle. This means XU = XV = XW.
XW = XV
3a +25 = -2a +15 . . . . . substitute given values
5a = -10 . . . . . . . . . add 2a-25
a = -2 . . . . . divide by 5
XU = XV = -2(-2) +15 . . . . find the measure of the radius
XU = 19
