Answer:
x = 41
Explanation:
The angle bisector ED divides the segments into a proportion:
... HD/HE = GD/GE
... (x+1) cm/(58.8 cm) = (35 cm)/(49 cm) . . . . fill in the given numbers
... x+1 = 58.8 · (35/49) = 42 . . . . . . multiply by 58.8 cm
... x = 42 -1 . . . . . subtract 1
... x = 41