What is the measure of one interior angle in a regular hexagon?

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A regular hexagon is a six-sided polygon where all sides and angles are congruent (equal). To find the measure of one interior angle in a regular hexagon, we need to use a specific formula for calculating the interior angles of any regular polygon.

The formula for finding the measure of one interior angle is:

  Interior Angle = (n - 2) * 180° / n

In this formula, n represents the number of sides of the polygon. For a hexagon, n = 6.

Substituting 6 into the formula:

  Interior Angle = (6 - 2) * 180° / 6
  Interior Angle = 4 * 180° / 6
  Interior Angle = 720° / 6
  Interior Angle = 120°

Therefore, the measure of one interior angle in a regular hexagon is 120°.

To visualize it better, imagine cutting the hexagon into triangles from the center; each triangle has an angle of 120°, which shows that these angles perfectly tile the interior of the hexagon. So next time you come across a regular hexagon, remember that each of its corners holds a cool 120°!

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