Is there a convex polygon with each angle of 165 degrees?

By hypothesis, each angle of a convex polygon is 165 °, which means that this polygon is regular, then all its sides are equal.
The degree measure of the angle of a regular polygon is found by the formula:
α = (n – 2) / n * 180 °,
where α is the angle of a regular polygon, n is the number of sides of a regular polygon.
By condition, α = 165 °, therefore:
(n – 2) / n * 180 ° = 165 °;
(180 ° * n – 180 ° * 2) / n = 165 °;
(180 ° * n – 360 °) / n = 165 °;
180 ° * n – 360 ° = 165 ° * n (proportional);
180 ° * n – 165 ° * n = 360 °;
15 ° * n = 360 °;
n = 360 ° / 15 °;
n = 24.
Answer: A convex polygon, each angle of which is 165 °, exists, the number of its sides is 24.