Answer:
x = 19
Step-by-step explanation:
Since DF is an angle bisector then it divides the opposite sides into segments that are proportional to the other 2 sides, that is
[tex]\frac{DE}{DG}[/tex] = [tex]\frac{EF}{GF}[/tex] , substitute values
[tex]\frac{25}{22.5}[/tex] = [tex]\frac{x-9}{9}[/tex] ( cross- multiply )
22.5(x - 9) = 225 ( divide both sides by 22.5 )
x - 9 = 10 ( add 9 to both sides )
x = 19
