Final answer:
The amplitude of each internal angle of a regular hexagon is 120° because the sum of internal angles in a hexagon is 720°, and when divided by the number of angles (6), it results in each angle measuring 120°.
Step-by-step explanation:
The amplitude of each internal angle of a regular hexagon is 120° because a regular hexagon can be divided into six equilateral triangles. To understand why this is, we can calculate the total internal angles of a hexagon. We know that the sum of internal angles for any polygon is (n-2) × 180° where 'n' is the number of sides. For a hexagon, 'n' is 6. Therefore, the sum of internal angles is (6-2) × 180° = 720°.
Given that a regular hexagon has all sides and angles equal, each of its internal angles will be the same, so we divide this sum by the number of angles, which is 6. This gives 720° / 6 = 120°. Therefore, the amplitude of each angle in a regular hexagon is 120°.