D, E, F, and G in Fig. 4.13 are surveyed points in a land development on level terrain so...

D, E, F, and G in Fig. 4.13 are surveyed points in a land development on level terrain so that each point is visible from each other. Leg DG is physically measured as 500.0 m. The angles at three of the points are found to be: angle GDE = 55°, angle DEF = 92°, angle FGD = 134°. Also, angle DGE is measured at 87°. Compute the lengths of DE, EF, FG, and EG.

Figure 4.13