Exterior Angle Sum Property
The Exterior Angle Sum Property states that for any polygon, the sum of all exterior angles is always 360 degrees, regardless of the number of sides. This Grade 7 geometry concept from Big Ideas Math Advanced 2, Chapter 3 makes it easy to find individual exterior angles of regular polygons by dividing 360 by the number of sides. For example, each exterior angle of a regular pentagon is 360 divided by 5 equals 72 degrees.
Key Concepts
The sum of all exterior angles of any polygon is always $360°$, regardless of the number of sides.
Common Questions
What is the exterior angle sum of any polygon?
The sum of all exterior angles of any polygon is always 360 degrees, regardless of whether the polygon is regular or irregular, or how many sides it has.
How do you find each exterior angle of a regular polygon?
Divide 360 degrees by the number of sides. For a regular hexagon with 6 sides, each exterior angle is 360 divided by 6 equals 60 degrees.
What is the difference between interior and exterior angles?
An interior angle is inside the polygon. An exterior angle is formed by extending one side of the polygon and is supplementary (adds up to 180 degrees) to the adjacent interior angle.
What textbook covers the exterior angle sum property in Grade 7?
Big Ideas Math Advanced 2, Chapter 3: Angles and Triangles covers the exterior angle sum property for polygons.