Answer:
Step-by-step explanation:
4x = 80 - x {Vertically opposite angles are equal}
Add 'x' to both sides
4x + x = 80
5x = 80
Divide both sides by 5
x = 80/5
x = 16
∠DEA = 4x = 4*16 = 64
∠BEC = 80 - x = 80 - 16 = 64
∠DEA + ∠AEB = 180 {linear pair}
64 + ∠AEB = 180
∠AEB = 180 - 64
∠AEB = 116
∠CED = ∠AEB {Vertically opposite angles}
∠CED = 116
