Answer:
The value of EG is 18.
Step-by-step explanation:
The provided information are:
[tex]EH = 26 + x\\EG = x + 23\\FG = 14+ x\\FH = 12[/tex]
Step 1:
Compute the value of EF as follows:
[tex]EF = EG - FG\\= x + 23 - 14 - x\\= 9[/tex]
So, EF = 9.
Step 2:
Compute the value of GH as follows:
[tex]EH=EG+GH\\GH=EH-EG\\=26+x-x-23\\=3[/tex]
So, GH = 3.
Step 3:
Compute the value of FG as follows:
[tex]FG+GH=FH\\FG=FH-GH\\=12-3\\=9[/tex]
Step 4:
Use the results from step 1 and 3 to compute the value of EG as follows:
[tex]EG=EF+FG\\=9+9\\=18[/tex]
Thus, the value of EG in the line segment EH is 18.
