Which of the following properties applies to all convex polygons?

The property that applies to all convex polygons is that the sum of all interior angles is equal to (number of sides - 2) * 180 degrees. This formula arises from dividing the polygon into triangles, as each triangle has interior angles that sum to 180 degrees. For a polygon with "n" sides, you can draw (n - 2) triangles, resulting in the formula for the sum of the interior angles being (n - 2) * 180 degrees.

This concept applies universally to all types of convex polygons, whether they are triangles, quadrilaterals, pentagons, or higher-order polygons.

The other options do not hold true for all convex polygons: for instance, not all interior angles of a convex polygon are greater than 180 degrees; in fact, for any convex polygon, all interior angles must be less than 180 degrees. The requirement for equal side lengths is characteristic of regular polygons, not all convex polygons in general. Lastly, while the sum of exterior angles of any polygon is always 360 degrees, they do not sum to zero degrees, which is a misunderstanding of external angle properties.