Question

point g is the incenter of the triangle. what is the value of x? 4 8 24 32 16° (2x)°

Explanation:

Step1: Recall the property of in - center

The in - center of a triangle is the point of intersection of the angle bisectors of the triangle. So, the two angles formed by the angle bisector at vertex F are equal.

Step2: Set up the equation

We know that \(2x = 16\).

Step3: Solve for x

Divide both sides of the equation \(2x = 16\) by 2. We get \(x=\frac{16}{2}=8\).

Answer:

8