Final answer:
Pathos is the mode of persuasion in rhetoric that relies on emotional appeals to the audience's values and beliefs.
Step-by-step explanation:
The mode of persuasion in rhetoric that relies on emotional appeals to the audience's values and beliefs is Pathos. Pathos is the use of appeals to feelings and emotions shared by an audience. It involves evoking emotions such as fear, anger, sympathy, guilt, or sorrow in order to persuade the audience.