Answer:
x ≈ 4.6
Step-by-step explanation:
The chords are congruent, so the angles they subtend are congruent:
120 = 32x -27 . . . . . . set the angle measures equal
147 = 32x . . . . . . . . . . add 27
147/32 = x ≈ 4.6 . . . . divide by the coefficient of x
