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?

250
225
300
200

Question

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?
 
  
 250 
 225 
 300 
 200

aihberkhan · Answer

Okay. 

The sum of interior angles of a polygon = (n-2)*180°, where n is number of sides / vertices 

We already have this sum, so we will go backwards to find n. 

7740 = 180(n-2) 

Divide by 180 

43 = n - 2 
45 = n 

So we have 45 vertices. Each vertex can hold 5 people, hence, 45 * 5 = 225 people all together.

aihberkhan · Answer

Hope this helped! Have a great day!

Also a medal would be much appreciated! Just click best response next to my answer. Thank You!

@xxorejina

anonymous · Answer

me to