What is the measure of an angle in a regular hexagon?

Solution:

A regular hexagon is a polygon with six sides of equal measures.

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°

Now,

Measure of each angle of a regular hexagon = Sum of interior angles of a hexagon / 6

= 720°/6 = 120°

Thus, we see that the measure of each angle in a regular hexagon is 120°

What is the measure of an angle in a regular hexagon?

Summary:

The measure of an angle in a regular hexagon is 120°.