The car at each vertex of a ferris wheel holds a maximum of 5 people. the sum of the measures of the angles of the ferris wheel is 7740º. what is the maximum number of people that the ferris wheel can hold?

Well, we know each car holds 5 folks, we know also that the "interior" angles of the wheel sum up to 7740º, so hmm how many cars on that "regular polygon" wheel anyway?

well    

so the ferris wheel has 45 sides, is a polygon of 45 sides... that means it has 45 cars, each car can hold 5 folks, so it can hold a maximum of 45 *5