Question

Point G is thr incenter of the triangle. what is the value of x?

a.4
b.
c.24
d.32

Answer 1

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

Explanation:

hope this helps

Answer 2

Answer: The value of x =8.

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
then, it is bisecting
`\angle{F}`

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

`\\\Rightarrow2x=16\\\Rightarrow\ x=8`

Therefore, the value of x=8.