A regular hexagon has six equal sides and six equal angles. To find the measure of each interior angle, we can use the formula for calculating the interior angles of a polygon:
Interior Angle = [(n – 2) × 180°] / n
Where n is the number of sides in the polygon. For a hexagon, n is 6:
Interior Angle = [(6 – 2) × 180°] / 6 = [4 × 180°] / 6 = 720° / 6 = 120°
Therefore, each interior angle in a regular hexagon measures 120 degrees. This means that if you were to draw lines connecting each vertex of the hexagon to the center, the angles formed at each vertex would be 120 degrees, showing the symmetry and uniformity of this geometric shape.