What is EG?
We will find y first:
y / 21 = (10 + y) / 36
y = 14
Using the angle bisector theorem we have:
DE / DG = x / x + 6
DG * x = DE (x + 6)
36x = 24(x + 6)
36x = 24x + 144
x = 12
EG = x + (x + 6) = 84
