How many pairs of adjacent angles, in all, can you name in the figure below?

Pairs of adjacent angles are:

∠EOC, ∠DOC

∠EOD, ∠DOB

∠DOC, ∠COB

∠EOD, ∠DOA

∠DOC, ∠COA

∠BOC, ∠BOA

∠BOA, ∠BOD

∠BOA, ∠BOE

∠EOC, ∠COA

∠EOC, ∠COB

Hence, 10 pair of adjacent angles.