Question

How many non-similar triangles have angles whose degree measures are distinct positive integers in an arithmetic progression?

Answer 1

Answer:

The answer is "59".

Step-by-step explanation:

Let the sum of the angle value is = 180

The median term is equal to the average of the sum of all terms for a strange arithmetic progression of a strange number of terms:

$\to \frac{180}{3} = 60^{\circ}$

For all the smallest angle 1 is the minimal level possible as well as 59 is the highest possible, so there is 59 used as the numbers are different.