Equilateral pentagon: all sides are equal and all sets of 3 adjacent angles are in a range of angles(doesn't have to be regular meaning it is also equiangular)

Pentagons can have 1-4 acute angles, 1-3 right angles,1-5 obtuse angles, and 1-2 reflex angles.

They all have to add up to 540

with a 4th right angle the last angle would be 180 degrees which is always a problem with pentagons. Thus a pentagon cannot have a 4th right angle.

Is there a way to figure out all the different angles possible in a pentagon with these 2 sentences about angles? And is this a sum of permutations or a sum of combinations?

I am assuming all angle measurements are integers that when you take the sum add up to 540.