Answer:. c.) 55 is the length of side xz
Step-by-step explanation: From geometry, you see from the tic marks on the arcs xz and yz that they are equal. If the arcs are equal, the chords and angles that inscribe the arcs are equal.
Then use algebra to create an equation with the expressions given for the lengths:
6x +10 = 8x -5
15 = 2x
x = 7.5 Substitute for x in the expressions:
6(7.5)+10 = 8(7.5) - 5
45+10 = 60 - 5
55 = 55 Solved!
If it's the length of the arc, that's a different question.