In a regular polygon there are two diagonals such that the angle between them is 50 degrees. What is the smallest number of sides of the polygon for which this is possible?
I had thought that for this to be the case, the smallest possible angle between diagonals of a polygon must be a factor of 50.
Factors of 50: 1, 50, 2, 25, 5, 10
Let x be the number of sides of the polygon
The biggest factor that lets x be a whole number is 10.
Answer is 18.