geometry
posted by alexandra .
Point C is the center of the circle. Arc AB measures 5x + 2. Angle ACB measures 3x + 14. Find the value of x.

arc = radius * angle
5x+2 = r * (3x+14)
You still need to know the radius. If not, then
5x+2 = 3rx + 14r
5x3rx = 14r2
x = (14r2)/(53r)
Keeping the same angle, a larger circle generates a longer arc.
If r=1, then x = 6
If r = 2, x = 12