A regular hexagon, which is a six-sided polygon with all sides and angles equal, has its interior angles calculated using the formula for the interior angle of a polygon:
Interior angle = (n – 2) * 180° / n
In this formula, n represents the number of sides in the polygon. For a hexagon, n = 6. Plugging this into the formula gives:
Interior angle = (6 – 2) * 180° / 6
This simplifies to:
Interior angle = 4 * 180° / 6
Which then becomes:
Interior angle = 720° / 6
Thus, each interior angle measures:
Interior angle = 120°
To visualize this, imagine a regular hexagon. You could draw lines from the center of the hexagon to each vertex, forming six triangles. Since the angles of a triangle add up to 180°, each angle formed at the center contributes to the 120° interior angles when you sum them back at each corner of the hexagon. Therefore, in a regular hexagon, each of the six interior angles amounts to 120°.