This table involves calculations related to polygons and their angles. Let's break down the different columns to provide a solution:

Key Formulas:

1. Interior Angle Sum of a Polygon:
   $\text{Sum of Interior Angles} = 180^\circ \times (n - 2)$ where $n$ is the number of sides.

2. Measure of One Interior Angle (for a Regular Polygon):
   $\text{One Interior Angle} = \frac{\text{Sum of Interior Angles}}{n}$

3. Exterior Angle Sum (for any polygon):
   This is always $360^\circ$ for any polygon, regardless of the number of sides.

4. Measure of One Exterior Angle (for a Regular Polygon):
   $\text{One Exterior Angle} = \frac{360^\circ}{n}$

Using these formulas, we can systematically fill in the table based on the given data. Let's work through a few rows, and then you can apply the same methods to the rest of the table.

Let me start filling the table based on these formulas and the information provided.Here are the calculations for the rows where the number of sides ($n$) is provided:

1. For $n = 14$:

   • Interior Angle Sum = $2160^\circ$
   • Measure of One Interior Angle = $154.29^\circ$
   • Exterior Angle Sum = $360^\circ$ (always the same for any polygon)
   • Measure of One Exterior Angle = $25.71^\circ$

2. For $n = 24$:

   • Interior Angle Sum = $3960^\circ$
   • Measure of One Interior Angle = $165^\circ$
   • Exterior Angle Sum = $360^\circ$
   • Measure of One Exterior Angle = $15^\circ$

3. For $n = 17$:

   • Interior Angle Sum = $2700^\circ$
   • Measure of One Interior Angle = $158.82^\circ$
   • Exterior Angle Sum = $360^\circ$
   • Measure of One Exterior Angle = $21.18^\circ$

Would you like me to continue with the rest of the table, or do you have any specific questions about these calculations?

5 Related Questions:

1. How is the sum of interior angles affected as $n$ increases?
2. What happens to the measure of one exterior angle as the number of sides grows?
3. Why does the sum of exterior angles always equal $360^\circ$?
4. Can you use these formulas to calculate properties of irregular polygons?
5. How can you derive the number of sides from a given interior or exterior angle?

Tip: The measure of one exterior angle can always help you quickly determine the number of sides of a regular polygon. Just divide $360^\circ$ by the angle.