What is the relationship between the number of sides of a polygon an the number of diagonals that can be drawn from one vertex?

A tabletop in the shape of a regular pentagon is designed. We then redesigned it as a regular hexagon. By how much would each interior angle change?

Determine the missing angles.

Determine the missing angles.

Use words or pictures to explain why the sum of the exterial angles of a convex pentagon is 360°.