point G is thr incenter of the triangle. what is the value of x?
a.4
b.
c.24
d.32
![point G is thr incenter of the triangle what is the value of xa4bc24d32 class=](https://us-static.z-dn.net/files/d0a/bf40c3d50838da3be29007c8df00b4b9.jpg)
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