* A warm cup of tea assuaged her anxieties after a long day at work. (Meaning: The tea calmed her worries.)
* The doctor's kind words assuaged the patient's fears about the upcoming surgery. (Meaning: The doctor's words eased the patient's fear.)
* The generous donation from the wealthy philanthropist assuaged the organization's financial concerns. (Meaning: The donation eased the organization's financial worries.)
Let me know if you'd like to see more examples!