What is the interior angle sum that have a  14, 24, 17, and 8  sides

The interior angle sum of a polygon can be calculated using the formula:

\[
\text{Interior Angle Sum} = 180^\circ \times (n - 2)
\]

where \( n \) is the number of sides of the polygon. Let's calculate the interior angle sum for polygons with 14, 24, 17, and 8 sides.

1. **14-sided polygon (n = 14):**

\[
\text{Interior Angle Sum} = 180^\circ \times (14 - 2) = 180^\circ \times 12 = 2160^\circ
\]

2. **24-sided polygon (n = 24):**

\[
\text{Interior Angle Sum} = 180^\circ \times (24 - 2) = 180^\circ \times 22 = 3960^\circ
\]

3. **17-sided polygon (n = 17):**

\[
\text{Interior Angle Sum} = 180^\circ \times (17 - 2) = 180^\circ \times 15 = 2700^\circ
\]

4. **8-sided polygon (n = 8):**

\[
\text{Interior Angle Sum} = 180^\circ \times (8 - 2) = 180^\circ \times 6 = 1080^\circ
\]

So, the interior angle sums are:
- 14-sided polygon: \(2160^\circ\)
- 24-sided polygon: \(3960^\circ\)
- 17-sided polygon: \(2700^\circ\)
- 8-sided polygon: \(1080^\circ\)

Would you like to know more details or have any questions?

Here are 5 related questions to explore:
1. How do you calculate the measure of a single interior angle in a regular polygon?
2. What is the relationship between the number of sides and the interior angle sum of a polygon?
3. How does the interior angle sum change as the number of sides increases?
4. Can a polygon have an interior angle sum of 720°? If so, how many sides does it have?
5. What is the interior angle of a regular polygon with 12 sides?

**Tip:** Remember, as the number of sides of a polygon increases, the sum of the interior angles also increases, while the sum of the exterior angles remains constant at \(360^\circ\).

Explore how to calculate the interior angle sum of polygons with 14, 24, 17, and 8 sides using the formula 180° × (n - 2). Learn about the relationship between the number of sides and the sum of interior angles in polygons. Suitable for students in Grades 7-9.

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