Answer:
x = 46
Step-by-step explanation:
Assuming DE is an angle bisector , then it divides the opposite side into segments that are proportional to the other 2 sides, that is
[tex]\frac{HD}{DG}[/tex] = [tex]\frac{EH}{EG}[/tex] , substitute values
[tex]\frac{x+4}{58}[/tex] = [tex]\frac{55}{63.8}[/tex] ( cross- multiply )
63.8(x + 4) = 3190 ( divide both sides by 63.8 )
x + 4 = 50 ( subtract 4 from both sides )
x = 46
