Calculate the angle of a regular hexagon.

Let the angle of a regular 15-gon be x °.
Then the 15 angles of a given polygon are 15x degrees.
Now let’s pay attention to the formula by which we determine how many degrees are all 15 angles of a given polygon.
The sum of the angles of this figure is calculated using the following formula.
180 (n – 2), where n is the number of corners.
Now let’s compose and solve the equation.
15x = 180 (n – 2).
15x = 180 (15 – 2).
15x = 180 × 13.
15x = 2340.
x = 2 340: 15.
x = 156 °.
Answer: 156 °.