Answer:
Step-by-step explanation:
AB // DE , and AE is transversal
∠CAE = ∠DEA {Alternate interior angles}
∠CAE = 2x
∠AEB = 180 - ∠FEC
= 180 - 4x
∠CAE + ∠AEB = 6x {Exterior angle property of triangle}
2x + 180 - 4x = 6x
180 - 2x = 6x
Add 2x to both sides
180 = 6x +2x
180 = 8x
Divide both sides by 8
180/8 = x
x = 22.5
∠AED = 2x = 22.5 *2 = 45
∠FEC = 4x = 4*22.5 = 90
∠EBC = 6x = 6*22.5 = 135
