Polygon Math Example 3
Follow the full solution, then compare it with the other examples linked below.
Example 3
easyWhat is the sum of the exterior angles of any convex polygon?
Solution
- 1 Step 1: As you walk around any convex polygon, you turn at each corner.
- 2 Step 2: After one full trip, you have turned in total — regardless of the number of sides.
Answer
The sum of exterior angles of any convex polygon is always .
This remarkable result holds for all convex polygons regardless of the number of sides. It follows because traversing the perimeter once constitutes one full rotation (360°). This is also why each exterior angle of a regular -gon equals .
About Polygon
A closed two-dimensional figure formed by three or more straight line segments connected end-to-end.
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