?find the sum of all interior angles of the hexagon?

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Answer

Sum of the interior angles=(n-2)×180
(n) stands for the number of sides.
ATQ Sum of the interior angles of a regular hexagon =(6-2)×180=720 degree is the correct answer.
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Answer

Understanding Interior Angles of a Hexagon
To find the sum of all interior angles of a hexagon, we can use a straightforward formula derived from geometry.
Formula for Sum of Interior Angles
- The general formula for calculating the sum of the interior angles of any polygon is:
(n - 2) × 180°,
where 'n' is the number of sides in the polygon.
Applying the Formula to a Hexagon
- For a hexagon, the number of sides (n) is 6.
- Substituting into the formula:
(6 - 2) × 180° = 4 × 180° = 720°.
Conclusion
- Therefore, the sum of all interior angles of a hexagon is 720 degrees.
- This means that when you add up all the angles inside a hexagon, you will always arrive at this total.
Visual Representation
- To visualize:
- Imagine dividing the hexagon into triangles.
- A hexagon can be divided into 4 triangles, each contributing 180 degrees.
- Thus, 4 × 180° = 720° confirms our earlier calculation.
Understanding the interior angles of polygons is essential for various applications in geometry, architecture, and design.

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