Final answer:
To determine the measure of Angle A in a regular hexagon, apply the formula for the sum of interior angles of a polygon and divide by the number of sides. A regular hexagon's interior angle is 120 degrees.
Step-by-step explanation:
The measure of an internal angle of a regular hexagon can be found using the formula for the sum of interior angles of a polygon: (n - 2) × 180°, where n is the number of sides. For a hexagon, n = 6. Plugging this into the formula, we get (6 - 2) × 180° = 4 × 180° = 720°. Since a regular hexagon has all angles equal, we divide this sum by the number of angles (6) to find the measure of one angle.
720° ÷ 6 = 120°
Therefore, the measure of Angle A in a regular hexagon is 120 degrees.