BC = CD，AE=AD

∴AE=AC-AD=。

(2)EAG = 36 for the following reasons:

∫FA = FE = AB = 1，AE=

∴ =

△ FAE is a golden triangle.

∴∠F=36，∠AEF=72

AE = AG，FA=FE

∴∠FAE=∠FEA=∠AGE

∴△AEG∽△FEA

∴∠EAG=∠F=36。