Answer:
130°
Step-by-step explanation:
∠AOB + ∠BOC + ∠COD = 180
Note ∠BOC = 90°
so 3x - 28 + 90 + 66 - x = 180
2x + 128 = 180
2x = 180 - 128 = 52
x = 52/2 = 26
Note ∠EOD = ∠BOA = 3x - 28 = 3*26 - 28 = 50
∠AOE + ∠EOD = 180°
so
∠AOE + 50 = 180
∠AOE = 180 - 50 = 130°
