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Why is the angle 120? I've tried explaining that one interior angle in a regular hexagon is 120, but it didn't work.

Why is the angle 120? I've tried explaining that one interior angle in a regular hexagon-example-1
User DmitrySandalov
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Answer:

The interior angle of a regular hexagon (a hexagon in which all sides are equal in length and all angles are equal) is 120 degrees because the sum of the interior angles in any polygon can be calculated using the formula:

(n-2) * 180

where n is the number of sides in the polygon.

So for a hexagon, which has 6 sides, the formula would be:

(6-2) * 180 = 4 * 180 = 720

This means that the sum of the interior angles in a hexagon is 720 degrees. Since there are 6 interior angles in a hexagon, and the sum of all of them is 720 degrees, each angle must measure 720/6 = 120 degrees.

I hope this helps! Let me know if you have any more questions.

Explanation:

User Edwin Groenendaal
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