Yes, a polygon can have a central angle of 25 degrees.
A central angle is an angle formed by two radii (or line segments) extending from the center of a polygon to two consecutive vertices. The sum of the central angles in any polygon is always equal to 360 degrees.
Therefore, if we have a regular polygon with n sides, each central angle would measure 360 degrees divided by n. For example, a regular hexagon (a polygon with 6 sides) would have central angles of 360 degrees divided by 6, which is 60 degrees.
However, in the case of an irregular polygon, the central angles can have different measures. As long as the sum of all the central angles equals 360 degrees, it is possible for one or more central angles to measure 25 degrees.