Question

that E is from another Question :)

Answer 1

Answer:

x= 80°

Step-by-step explanation:

• I Observation

AB || FD

∠ABF = ∠BFD ( alternate angles)

•°• ∠BFD = 120°

• II Observation

∠BFE is a straight line angle which is equal to 180°

=> ∠BFD + ∠CFE = 180

=> 120 + ∠CFE = 180

=> ∠CFE = 60°

III Observation

In ∆CFE

exterior angle = sum of interior opposite angles

•°• ∠ECD = ∠CFE + ∠CEF

=> 140 = 60 + ∠CEF

=> ∠CEF = 80°

and ∠CEF = x

therefore, x = 80°

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Hope this helps!