How many sides does a polygon have with interior angles of 45 degrees?

Answer 1

22/3 sides.

-- The smallest possible number of sides for a polygon is 3, in a triangle.

If the triangle is regular, then each interior angle is 60 degrees.

-- The next polygon is the quadrilateral, with 4 sides. If the quadrilateral

is regular, then each interior angle is 90 degrees.

-- We can see that as the number of sides increases, the interior angles get bigger.

-- So the triangle is the polygon with the smallest interior angles.

And those are 60 degrees, so a polygon with all45-degree interior angles

isn't possible. Some of them could be, but never all.