解：∵OD是∠AOC的平分线，OE是∠COB的平分线，∴∠AOD=∠COD，∠EOB=∠COE，∵∠AOD+∠COD+∠EOB+∠COE=180°，∴2∠COD+2∠EOB=180°，∴∠COD+∠EOB=90°，∵∠COD=28°，∴∠EOB=62°．
