What is the measure of an angle in a regular hexagon?
Answer: The measure of an angle in a regular hexagon is 120°.
A regular hexagon has all angles of the same measure and all sides of the same length.
Let's calculate the sum of all the interior angles of a hexagon
Sum of interior angles = (n - 2) × 180°
where, n = number of sides
For a hexagon, n = 6
Thus, by substituting in the above formula we get
Sum of interior angles of a hexagon = (6 - 2) × 180° = 720°
Measure of each angle of a regular hexagon = Sum of interior angles of a hexagon / 6
= 720°/6 = 120°