Explore the exterior angles of polygons by following these steps.

✓ 1. Colored sectors show the exterior angles of a triangle. Press Continue to see if the sectors form a complete circle.

✓ 2. Press Continue to examine another polygon.

✓ 3. These sectors show the exterior angles of a quadrilateral. Press Continue to see if they form a circle.

✓ 4. Press Continue to examine another polygon.

✓ 5. These sectors show the exterior angles of a pentagon. Press Continue to see if they form a circle.

✓ 6. In all three cases, the sectors formed a circle. Make a conjecture. What is the sum of the exterior angles of any polygon?

Exterior Angles of Polygons with 3, 4, and 5 Sides