Respuesta :

Answer: The value of x =8.


Step-by-step explanation:

We know that the incenter of triangle is constructed by taking the intersection of the angle bisectors of the three vertices of the triangle.

Thus if G is the incenter of [tex]\triangle DEF[/tex] then, it is bisecting [tex]\angle{F}[/tex]

[tex]\Rightarrow\angle{GFE}=\angle{GFD}[/tex]

[tex]\\\Rightarrow2x=16\\\Rightarrow\ x=8[/tex]

Therefore, the value of x=8.

Answer:

The answer is (B) (which is 8 BTW)

Step-by-step explanation:

hope this helps