Can the smallest angle of a convex 9 gon be 141 degrees?

We know well from the school geometry course that the sum of the angles of a convex polygon can be calculated using the following formula:

(n – 2) * 180.

Let’s determine what the sum of the angles in the polygon will be in our case:

(9 – 2) * 180 = 7 * 180 = 1260.

Now let’s find out what the sum of the angles in our polygon would be if each of the angles in it would be like an angle, which is called the smaller in the problem statement:

9 * 141 = 1269.

Now let’s compare the values obtained above:

1260 <1269.

Answer: No, this cannot be.