∵∠A=65°,∠B=75°,
∴∠DEF+∠DFE=∠A+∠B=140°,
∴∠DEF+∠DFE+∠CEF+∠CFE=280°,
∴∠2=360°-(∠DEF+∠DFE+∠CEF+∠CFE)-∠1=360°-280°-20°=60°