Answer:
x=41
Explanation:
We can use the Triange angle bisector theorem
EG DG
-------- = -----------
EH DH
49 35
-------- = -----------
58.8 x+1
Using cross products
49(x+1) = 58.8(35)
Distribute
49x+49 = 2058
Subtract 49 from each side
49x-49+49 = 2058-49
49x = 2009
Divide by 49
49x/49= 2009/49
x=41