Answer:
∠BEC = 119°
Step-by-step explanation:
∠BAC = 47° because it is an alternate interior angle to 47°
∠BEA = 180 - 47 - 72 = 61°
∠DEC = ∠BEA because they are vertical angles
∠BEC = ∠DEA because they are vertical angles
∠BEC + ∠DEA + ∠BEA + ∠DEC = 360°
∠BEC + ∠DEA + 61 + 61 = 360°
∠BEC + ∠DEA = 238°
since ∠BEC = ∠DEA, then ∠BEC = 238/2 = 119°
