Open Middle®
Directions: If n is equal to the number of sides, when is the sum of the interior angles less than (or greater than or equal to) the sum of the exterior angles?
Hint
How can we measure the sum of the interior and exterior angles?
Answer
The sum of the exterior angles is always equal to 360 degrees. So, the sum of the interior angles of a quadrilateral is equal to the sum of the exterior angles. A triangle’s interior angles sum is less than the exterior angles. Every polygon with more than 4 sides is has the sum of its interior angles more than its exterior angle sum.
Source: Ricardo Navarro, Gladys Velasquez, Bryan Aguilar, and Eddie Galaviz
