First we have to find how much she earns each week before the raise. For this we multiply Angies earnings per hour by the amount of hours she works per week:
Angie earns $135 per week. Now she get's a raise of 5%. We need to find 5% of $135 and then add it to $135:
After the raise, Angie earns $6.75/week more than before the rise. So:
Angie will earn $141.75 a week after the raise