How many sides does a regular rectangle have if each corner is 165?

Let’s denote by n the number of sides of a given regular polygon.
In the initial data for this task, it is reported that each angle of this regular polygon is 165 °.
Therefore, the sum of all angles of a given geometric figure should be equal to 165 ° * n.
On the other hand, the sum of the angles of any regular n-gon is 180 ° * (n – 2), therefore, we can compose the following equation:
165 * n = 180 * (n – 2)
solving which, we get:
165n = 180n – 360;
180n – 165n = 360;
15n = 360;
n = 360/15 = 24.
Answer: 24 sides.