A regular hexagon has six equal sides and six equal angles. To find the measure of one interior angle, we first calculate the total sum of the interior angles of the hexagon.
The formula for the sum of the interior angles of a polygon is given by:
Sum of interior angles = (n – 2) × 180°
where n is the number of sides. For a hexagon, n = 6.
So, the calculation becomes:
Sum of interior angles = (6 – 2) × 180° = 4 × 180° = 720°
Since a regular hexagon has all its interior angles equal, we can find the measure of one interior angle by dividing the total sum by the number of angles:
One interior angle = Total sum of angles / Number of angles = 720° / 6 = 120°
Therefore, the measure of one interior angle in a regular hexagon is 120 degrees.