Question

G is the incenter, or point of concurrency, of the angle bisectors of ΔACE.

Triangle A C E has point G as its incenter. Lines are drawn from the points of the triangle to point G. Lines are drawn from point G to the sides of the triangle to form right angles. Line segments G B, G D, and G F are formed. Angle F E G is (3 n minus 1) degrees and angle D E G is 20 degrees.
What is the value of n?

6
7
20
59

Answer 1

7

Explanation:

Answer 2

7

Explanation:

The two angles of interest are either side of angle bisector EG, so are congruent.

3n -1 = 20

3n = 21 . . . . . add 1

n = 7 . . . . . . . divide by 3