Answer:
NF = 16
Step-by-step explanation:
Since N is the incenter of ΔABC then ND = NE = NF
ND = NE ⇔ 6x - 2 = 3x + 7 ⇔ 6x - 3x = 7 + 2 ⇔ 3x = 9 ⇔ x = 3
Now , we calculate ND:
ND = 6(3) - 2 = 18 - 2 = 16
and because NF = ND then NF is also equal to 16
Both of the angles are equal since they’re vertically opposite angles
Hence we need to equate them
3x-3=6(x-10)
3x-3=6x-60
57=3x
x=19
Answer:
add a picture
Step-by-step explanation: