Answer:
x = 24
Step-by-step explanation:
ED is the angle bisector of ∠GEH , thus the following ratios are equal
[tex]\frac{EH}{EG}[/tex] = [tex]\frac{HD}{GD}[/tex], that is
[tex]\frac{56}{44.8}[/tex] = [tex]\frac{35}{x+4}[/tex] ( cross- multiply )
56(x + 4) = 1568 ( divide both sides by 56 )
x + 4 = 28 ( subtract 4 from both sides )
x = 24
