Question

What is the value of X?

Answer 1

`x=24`

Explanation:

These two triangles are similar by the Angle Bisector Theorem. So these steps follow:

1. Set up a proportion
   `44.8/56= (x+4)/35`

2. Cross multiply
   `56(x+4)= 44.8*35`
   `56x+224 = 1568`
   `56x=1344`
   `x=24`

Answer 2

`x=31`

Explanation:

Since line ED bisects angle GEH, it also bisects line GH. Therefore, GD=DH
`x+4=35`
`x=31`