Question

the car at each vertex f a ferris wheel holds a max of 5 pople. the sum of the interior angers of ther ferris wheel is 7740 what is the maxximum number of people the ferris wheel can hold

Answer 1

Let n be the number of cars (vertices). For an n‑gon the sum of interior angles is (n−2)·180°, so

(n−2)·180 = 7740 → n−2 = 7740/180 = 43 → n = 45.

With 45 cars and 5 people per car, maximum capacity = 45·5 = 225 people.