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Junior two mathematics triangle test questions
Intercept BF = BD on BA and connect DF.

∴△BFD is an equilateral triangle

∴AF=AB-BF=BC-BD=DC

∫∠ADE = 60

∴∠ADB+∠CDE= 120

∫∠FAD+∠ADB = 120

∴∠FAD=∠CDE

∫∠AFD = 120

∠DCE=∠DCA+∠ACE= 120

∴∠AFD=∠DCE

∴△AFD≌△DCE

∴AD=DE

∫∠ADE = 60

Delta ade is an equilateral triangle.