Geometry Practice Test 4

∠BCD = ∠ABC + ∠BAC [Exterior angle property]
120° = 90° + ∠BAC
∠BAC = 30°
∠ABC + ∠BAF = 180 [∵ BC || AE and interior angles of parallel lines are supplementary]
90° + ∠BAC + ∠DAE = 180°
∠DAE = 180° - 90° - 30°
∠DAE = 60°