The question can only be answered if the polygon is regular - and there is nothing in the question to suggest that it is regular.
However, in the unlikely case that it was, each exterior angle would be 360/61 degrees. So each interior angle would be 180-360/31 = 168 12/31 or 168.387 degrees.
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
Each interior angle is: 1520 18' 27.69''
If each interior angle measures 176 degrees then it will have 90 sides
If it's a regular polygon with each interior angle being 156 degrees then it will have 15 sides
If it is a regular polygon and each interior angle is 176 degrees then it will have 90 sides.
If each interior angle is 178 degrees then the regular polygon will have 180 sides.
A polygon with 30 sides has a total interior angle measurement of 5040o, with each interior angle measuring 168o.
A regular polygon with each interior angle measuring 120 degrees is a hexagon.
180 sides!
If each interior angle is 175 degrees then the polygon will have 72 sides
Smallest possible interior angle of regular polygon is 60 degrees (triangle). The greater the number of sides, the greater each interior angle. If exterior angle is 30 degrees, the polygon has 12 sides.
A regular polygon of 30 sides will each have an exterior angle of 12 degrees and an interior angle of 168 degrees.
Each interior angle is: 1520 18' 27.69''
Each interior angle: 1640 20' 52.17''
Each interior angle measures 170 degrees
Each interior angle is: 1540 17' 8.57''