import arcpy, math

fc = 'House' #Change to match your data
rotatefield = 'Angle' #Clockwise rotation in degress. Change name to match your data

#Function to rotate one input Point around a pivot point
def rotatepoint(point, pivotpoint, angle):
    #Source: ArcGIS
    angle_rad = -math.radians(angle)
    ox, oy = pivotpoint.X, pivotpoint.Y
    px, py = point.X, point.Y
    qx = ox + math.cos(angle_rad) * (px - ox) - math.sin(angle_rad) * (py - oy)
    qy = oy + math.sin(angle_rad) * (px - ox) + math.cos(angle_rad) * (py - oy)    
    return arcpy.Point(qx,qy)

#Rebuild each polygon with rotated vertices
with arcpy.da.UpdateCursor(fc,['SHAPE@',rotatefield]) as cursor:
    for row in cursor:
        polylist = []
        for part in row[0]:
            partlist = []
            for pnt in part:
                if pnt is not None: #Polygons with inner rings will have None pnt(s) which can be skipped
                    partlist.append(rotatepoint(pnt, row[0].centroid, row[1])) #Centroid is pivot point
                    polylist.append(partlist)
        row[0] = arcpy.Polygon(arcpy.Array(polylist))
        cursor.updateRow(row)