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alex41 [277]
3 years ago
10

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

Mathematics
1 answer:
Agata [3.3K]3 years ago
4 0

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.

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