How many sides does a convex polygon have with each angle of 135 degrees?

Since, by condition, each angle of a convex polygon is 135 °, then this polygon is regular, then all its sides are equal.
The degree measure of the angle of a regular polygon is calculated 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.
Since by the condition α = 135 °, we get an equation with one variable:
(n – 2) / n * 180 ° = 135 °;
(180 ° * n – 180 ° * 2) / n = 135 °;
(180 ° * n – 360 °) / n = 135 °;
180 ° * n – 360 ° = 135 ° * n (proportional);
180 ° * n – 135 ° * n = 360 °;
45 ° * n = 360 °;
n = 360 ° / 45 °;
n = 8.
Answer: n = 8.