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g is the incenter, or point of concurrency, of the angle bisectors of δ…

Question

g is the incenter, or point of concurrency, of the angle bisectors of δace. what is the value of n? 6 7 20 59

Explanation:

Step1: Recall in - center property

Since G is the in - center of \(\triangle ACE\), EG is an angle bisector. So, the two angles formed by EG are equal. That is, \(3n - 1=20\).

Step2: Solve the equation for n

Add 1 to both sides of the equation \(3n - 1=20\): \(3n=20 + 1\), so \(3n=21\). Then divide both sides by 3: \(n=\frac{21}{3}=7\).

Answer:

7