Answer:
central; peripheral.
Step-by-step explanation:
Central route to persuasion: In psychology, the term "central route to persuasion" is defined as a process in which an individual is being persuaded by the "content" of a specific message.
Peripheral route to persuasion: In psychology, the term "peripheral route to persuasion" is described as a process in which an individual is being persuaded by something else except the "content" of the message.
In the question above, the given statement represents the central and the peripheral route to persuasion.