What is the relationship between the sum of the interior angles and the exterior angles of a polygon?

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Q: What is the relationship between the sum of the interior angles and the exterior angles of a polygon?

Solution: The sum of the exterior angles of any polygon is always 360 degrees, regardless of the number of sides.

Steps: 6

Step 1: Understand what a polygon is. A polygon is a shape with straight sides, like a triangle or a square.
Step 2: Learn about interior angles. Interior angles are the angles inside the polygon formed by two adjacent sides.
Step 3: Know that the sum of the interior angles of a polygon depends on the number of sides. The formula is (n - 2) * 180 degrees, where n is the number of sides.
Step 4: Understand what exterior angles are. Exterior angles are formed by extending one side of the polygon and measuring the angle outside the polygon.
Step 5: Learn that the sum of the exterior angles of any polygon is always 360 degrees, no matter how many sides it has.
Step 6: Realize that the relationship is that while the sum of interior angles changes with the number of sides, the sum of exterior angles remains constant at 360 degrees.