Answer:
x = ⅛
Explanation:
Examining the figure given, ED is an angle bisector.
Therefore, according to the angle bisector theory, EH/EG = HD/GD
EH = 56mm
EG = 44.8mm
HD = 35mm
GD = (x+4) mm
56/44.8 = 35/(x+4)
Cross multiply
56*(x+4) = 35*44.8
56x + 224 = 1,568
Subtract 224 from both sides
56x = 1,568/224
56x = 7
Divide both sides by 56
x = 7/56
x = ⅛