What is the total measure of the interior angles in a regular heptagon?

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

  • Sum of interior angles = (n – 2) x 180°

Here, ‘n’ represents the number of sides in the polygon. For a regular heptagon, which has 7 sides, the calculation would be as follows:

  1. Identify the number of sides:
    • n = 7
  2. Substitute n into the formula:
    • Sum of interior angles = (7 – 2) x 180°
  3. Perform the subtraction:
    • Sum of interior angles = 5 x 180°
  4. Now, multiply 5 by 180°:
    • Sum of interior angles = 900°

Therefore, the total measure of the interior angles of a regular heptagon is 900 degrees.

This means that if you were to add up all the angles inside a heptagon, you would arrive at 900°. Each angle in a regular heptagon, where all angles are equal, would then be approximately 128.57 degrees.

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