Question

Point G is thr incenter of the triangle. what is the value of x?a.4b.c.24d.32

Answer 1

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 $\triangle DEF$ then, it is bisecting $\angle{F}$

$\Rightarrow\angle{GFE}=\angle{GFD}$

$\\\Rightarrow2x=16\\\Rightarrow\ x=8$

Therefore, the value of x=8.