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The image shows a Geometric Jeopardy question asking for the sum and individual measurements of the angles in a regular hexagon. The options provided are:

- Total is 630° and individual is 95°.
- Total is 720° and individual is 128°.
- Total is 740° and individual is 130°.
- Total is 580° and individual is 65°.

### Solution:
To solve this, we need to calculate the interior angles of a regular hexagon.

1. **Sum of Interior Angles**: The formula to find the sum of interior angles for any polygon is:
   \[
   \text{Sum} = 180(n-2)
   \]
   where \(n\) is the number of sides. For a hexagon, \(n = 6\):
   \[
   \text{Sum} = 180(6-2) = 180 \times 4 = 720^\circ
   \]
   Therefore, the total sum of the interior angles is **720°**.

2. **Individual Angle**: For a regular hexagon, all interior angles are equal. The measure of each interior angle is:
   \[
   \text{Individual Angle} = \frac{\text{Sum}}{n} = \frac{720^\circ}{6} = 120^\circ
   \]

The closest correct answer from the options is **"Total is 720° and individual is 128°"**, though the individual angle provided here is incorrect (it should be 120°).

Do you want further explanation or details? Here are five related questions to expand your understanding:

1. How do we find the exterior angles of a regular polygon?
2. What is the sum of exterior angles for any polygon?
3. How can you verify if a polygon is regular or irregular based on angle measures?
4. Why is the formula for interior angle sum \(180(n-2)\)?
5. How would the calculations change if the hexagon were irregular?

**Tip**: Always remember that in any polygon, the sum of exterior angles is always 360°, regardless of the number of sides!

Find the sum and individual measurements of the angles in a regular hexagon. Options:
- Total is 630° and individual is 95°.
- Total is 720° and individual is 128°.
- Total is 740° and individual is 130°.
- Total is 580° and individual is 65°.

Solve for the sum and individual angles of a regular hexagon using the interior angle sum formula. Learn how the sum of angles for a hexagon is 720°, with individual angles being 120°. This problem focuses on geometry concepts relevant to Grades 8-10.

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