Open Middle®
Directions: If n is equal to the number of sides on a regular polygon, what is the lowest value of n where each interior angle’s measure is less (or greater) than the exterior angle?
Hint
Can you make a model to demonstrate that? How can you prove that you are correct?
Answer
If a regular quadrilateral (square with n=4) has the interior angle measure equal to the exterior angle measure, then increasing the number of sides (n > 4) will make the interior angles have a greater angle measure while decreasing the number of sides (n=3) will make the interior angles have a lesser angle measure.
Source: Ricardo Navarro, Gladys Velasquez, Bryan Aguilar, and Eddie Galaviz