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What topicPolygon interior angle sum and exterior angle sum
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Mathematics Quiz: Polygon Interior and Exterior Angle Sums

Test your knowledge of the interior and exterior angle sums of polygons with the following questions. Please answer each question in detail.

  1. What is the formula to calculate the sum of the interior angles of a polygon with n sides?

  2. If a polygon has 8 sides (an octagon), what is the sum of its interior angles?

  3. How many degrees are in each exterior angle of a regular pentagon? Show your calculations.

  4. Describe the relationship between the interior and exterior angles of a polygon at each vertex.

  5. If the sum of the exterior angles of a polygon is always a certain value, what is that value regardless of the number of sides? Explain why this is true.

Please provide detailed explanations for each answer. Good luck!