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 Incenter Property

The incenter \( G \) is the intersection of angle bisectors, so \( GE \) bisects \( \angle AEC \). Thus, \( \angle GED = \angle GEF \).

Step2: Set Up Equation

Given \( \angle GED = 20^\circ \) and \( \angle GEF=(3n - 1)^\circ \), we set \( 3n - 1 = 20 \).

Step3: Solve for \( n \)

Add 1 to both sides: \( 3n = 20 + 1 = 21 \). Divide by 3: \( n=\frac{21}{3}=7 \).

Answer:

7