Sum of Interior Angles of a Polygon
Exploration
Investigating the Sum of Interior Angles of different Polygons
Task 1
If the sum of the interior angles of a polygon is 900∘, how many sides does the polygon have?
Task 2
A pentagon is a polygon with 5 sides. What is the sum of its interior angles?
Task 3
If a triangle has a sum of angles of 180∘, what is the sum of angles for a rectangle (which you can split into two triangles)?
Task 4
If you have a stop sign, which is an octagon (8 sides), what is the sum of all its inside angles?
Task 5
Based on your table, what do you notice about the relationship between the number of sides of a polygon and the number of triangles it can be divided into?