ANSWER
She paid 6.5% tax
EXPLANATION
If Kat paid $137.39 including $8.39 tax, then the 100% of the value of the airpods is:
[tex]137.39-8.39=129[/tex]$129 is the total for the airpods. This is the 100%. We want to know what percentage of 120 is 8.39:
[tex]8.39\times\frac{100}{129}=8.39\times0.7752=6.5[/tex]The tax was 6.5%