Answer:
x = 41
Step-by-step explanation:
DE is an angle bisector and divides the sides and base in the ratio
[tex]\frac{EG}{EH}[/tex] = [tex]\frac{GD}{HD}[/tex], substituting values gives
[tex]\frac{49}{58.8}[/tex] = [tex]\frac{35}{x+1}[/tex] ( cross- multiply )
49(x + 1) = 2058 ( divide both sides by 49 )
x + 1 = 42 ( subtract 1 from both sides )
x = 41
